{"id":60,"date":"2023-09-17T07:24:22","date_gmt":"2023-09-17T07:24:22","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b7%d0%b0%d1%86%d0%b8%d1%8f-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%be%d0%b2-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b8-%d1%84%d0%b0\/"},"modified":"2023-09-17T07:24:22","modified_gmt":"2023-09-17T07:24:22","slug":"%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b7%d0%b0%d1%86%d0%b8%d1%8f-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%be%d0%b2-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b8-%d1%84%d0%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b7%d0%b0%d1%86%d0%b8%d1%8f-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%be%d0%b2-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b8-%d1%84%d0%b0\/","title":{"rendered":"\u041a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b (\u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u043d\u0433)"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043b\u044e\u0431\u043e\u0433\u043e \u0442\u0438\u043f\u0430. \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u0437\u0430\u0442\u0435\u043c \u043f\u0435\u0440\u0435\u0439\u0434\u0435\u043c \u043a \u0442\u043e\u043c\u0443, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u044e\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0431\u0435\u0437 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u0437\u0430\u0442\u0435\u043c \u043c\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043a\u043e\u0440\u043d\u0435\u0432\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441 \u0434\u0440\u043e\u0431\u044f\u043c\u0438 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0447\u0430\u0441\u0442\u043d\u044b\u0435 \u0441\u043b\u0443\u0447\u0430\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 (\u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430\u043c, \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b \u0438 \u0442. \u0434.). \u0412\u0441\u0435 \u043f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u0434\u0430\u043d\u044b \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445, \u0430 \u0432 \u043a\u043e\u043d\u0446\u0435 \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u043f\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-factorizacion-de-polinomios\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0439 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0434\u043b\u044f \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432.<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorisation-de-polynomes-factorisation.png\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u043d\u0433\u043e\u0432\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b (\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u043d\u0433\u043e\u0432\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b)\" class=\"wp-image-1177\" width=\"196\" height=\"197\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u0435\u0437\u043d\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0441 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u043c\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438 \u043b\u0435\u0433\u0447\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u044e\u0442\u0441\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-factorizar-polinomios-con-la-regla-de-Ruffini\"><\/span> \u041a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0420\u0443\u0444\u0444\u0438\u043d\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0437\u043d\u0430\u0442\u044c  <strong><span style=\"text-decoration: underline;\">, \u043a\u0430\u043a \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438<\/span><\/strong>  . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443 \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439, \u0435\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0445\u043e\u0442\u0438\u0442\u0435 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430.<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b <strong>\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d,<\/strong> \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0448\u0430\u0433\u0438:<\/p>\n<ol style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#000000;font-weight: normal;\">\u041a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0420\u0443\u0444\u0444\u0438\u043d\u0438.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#000000;font-weight: normal;\">\u041a\u0430\u0436\u0434\u044b\u0439 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0439 \u043a\u043e\u0440\u0435\u043d\u044c \u0442\u0438\u043f\u0430 x=a \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f (xa).<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0447\u043b\u0435\u043d\u0430 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043d\u0435\u0432\u0437\u0432\u0435\u0448\u0435\u043d\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430.<\/span><\/li>\n<\/ol>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f, \u0438 \u043b\u0443\u0447\u0448\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432, \u043d\u0438\u0436\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440, \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043d\u044b\u0439 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c:<\/p>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430: <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/polynome-non-factorise-2.jpg\" alt=\"\u043d\u0435\u0432\u0437\u0432\u0435\u0448\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\" class=\"wp-image-1221\" width=\"262\" height=\"31\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u0440\u043d\u0438 \u0438\u043b\u0438 \u043d\u0443\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043d\u0430\u0439\u0442\u0438 <strong>\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430<\/strong> , \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u043d\u044b \u00b11, \u00b12 \u0438 \u00b14. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorisation-de-polynomes-pdf-2.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432pdf\" class=\"wp-image-1222\" width=\"383\" height=\"133\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0431\u043b\u0430\u0433\u043e\u0434\u0430\u0440\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u0438 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f\u0445, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043e\u0434\u043d\u043e \u0438\u0437 \u044d\u0442\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0440\u0430\u0432\u0435\u043d 0, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u0440\u043d\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0438\u0437 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0438 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u0432 \u043a\u0430\u043a\u0438\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043c\u044b \u043d\u0430\u0447\u043d\u0435\u043c \u0441 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0fc5c5d38d0edca51c40a0f9db16d55f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+1:\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"65\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorisation-de-polynomes-avec-la-regle-de-ruffini.jpg\" alt=\"\" class=\"wp-image-1227\" width=\"315\" height=\"140\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043e\u0441\u0442\u0430\u0442\u043e\u043a (\u0438\u043b\u0438 \u0432\u044b\u0447\u0435\u0442) \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u2705<\/p>\n<p> \u041e\u0442\u043b\u0438\u0447\u043d\u043e, \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0443 \u043d\u0430\u0441 \u0443\u0436\u0435 \u0435\u0441\u0442\u044c, \u043e\u0441\u0442\u0430\u043b\u043e\u0441\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0435\u0441\u044f \u043a\u043e\u0440\u043d\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e\u043c \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6de4e73609a66312d9714a253f9ae3a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-1.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043d\u0435\u0442 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 \u0446\u0435\u043b\u043e\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044b\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u043c, \u043d\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c \u0441 \u0442\u043e\u0433\u043e \u043c\u0435\u0441\u0442\u0430, \u0433\u0434\u0435 \u043e\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u043b\u0438\u0441\u044c \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0448\u0430\u0433\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorisation-des-polynomes-pas-a-pas.jpg\" alt=\"\u0424\u0430\u043a\u0442\u043e\u0440\u043d\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-1225\" width=\"259\" height=\"221\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043f\u0440\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043d\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad143a0d979362a51b48a48c9ca9f59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad143a0d979362a51b48a48c9ca9f59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u043d\u0435 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u274c<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-feebbb5a0ef01c12d307ae7005579405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+2:\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"65\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-les-polynomes-pas-a-pas.jpg\" alt=\"\u0424\u0430\u043a\u0442\u043e\u0440\u043d\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-1232\" width=\"219\" height=\"217\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u0441\u043d\u043e\u0432\u0430 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u043e\u0441\u0442\u0430\u0442\u043e\u043a, \u043f\u043e\u044d\u0442\u043e\u043c\u0443<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0442\u0430\u043a\u0436\u0435 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u0418 \u043c\u044b \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u0442\u0443 \u0436\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443. \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c, \u0435\u0441\u043b\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u044d\u0442\u043e \u043a\u043e\u0440\u043d\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0438\u043b\u0438 \u043d\u0435\u0442: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-factorisation-de-polynomes.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-1250\" width=\"219\" height=\"303\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0420\u0430\u0437\u0434\u0435\u043b\u0438\u0432 \u043d\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u043e\u0441\u0442\u0430\u0442\u043e\u043a, \u043f\u043e\u044d\u0442\u043e\u043c\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u0440\u043d\u0435\u043c \u0438\u043b\u0438 \u043d\u0443\u043b\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u0436\u0435 \u043d\u0430\u0448\u043b\u0438 \u0432\u0441\u0435 \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0430 \u0438\u043c\u0435\u043d\u043d\u043e: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-polynome-factorise.jpg\" alt=\"\u043a\u043e\u0440\u043d\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\" class=\"wp-image-1238\" width=\"352\" height=\"41\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043b\u0438 \u0432\u0441\u0435 \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u043e \u0432\u044b\u0440\u0430\u0437\u0438\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u043a\u043e\u0440\u0435\u043d\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b24e8b3f28f048c85d6ea0f32d59fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0432\u0438\u0434\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0430 \u0432\u0438\u0434\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f629cb3501652d3b8e4d6a30d92b5d4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u0442\u043e \u0435\u0441\u0442\u044c \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043a\u043e\u0440\u043d\u044f \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0441\u043a\u043e\u0431\u043a\u0443 \u0441<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u043a\u043e\u0440\u0435\u043d\u044c \u043f\u043e\u043c\u0435\u043d\u044f\u043b \u0437\u043d\u0430\u043a: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-factoriser-un-polynome.jpg\" alt=\"\u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\" class=\"wp-image-1235\" width=\"416\" height=\"172\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0432\u0441\u0435 \u043a\u043e\u0440\u043d\u0438, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u043d\u044b\u0435 \u0432 \u0432\u0438\u0434\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u0432, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u0435 \u043a\u0440\u0443\u0433\u043b\u044b\u0435 \u0441\u043a\u043e\u0431\u043a\u0438 \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0447\u043b\u0435\u043d\u0430 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-polynomes-coefficient-plus-grand-degre.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u043d\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438\" class=\"wp-image-1241\" width=\"365\" height=\"124\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0425\u043e\u0442\u044f \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0440\u0430\u0432\u0435\u043d 1 \u0438 \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0435 \u0432\u043b\u0438\u044f\u0435\u0442 \u043d\u0430 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u0432\u0430\u0436\u043d\u043e \u043d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u044d\u0442\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435. \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443, \u0435\u0441\u043b\u0438 \u0431\u044b \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043e\u0442\u043b\u0438\u0447\u0430\u043b\u0441\u044f \u043e\u0442 1, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0438\u0437\u043c\u0435\u043d\u0438\u043b\u0441\u044f \u0431\u044b \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043d\u0435 \u0432\u0432\u0435\u0434\u044f \u0447\u0438\u0441\u043b\u043e, \u043c\u044b \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u043b\u0438 \u0431\u044b \u043e\u0448\u0438\u0431\u043a\u0443 \u043f\u0440\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/polymial-factorise-etape-par-etape-en-ligne.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043e\u043d\u043b\u0430\u0439\u043d\" class=\"wp-image-1242\" width=\"339\" height=\"39\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizar-polinomios-sin-termino-independiente\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0431\u0435\u0437 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d \u0432\u0430\u0436\u0435\u043d \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043d\u0430\u043c \u0438\u0434\u0435\u043d\u0442\u0438\u0444\u0438\u0446\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u041e\u0434\u043d\u0430\u043a\u043e \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043d\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430?<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0427\u0442\u043e\u0431\u044b <strong>\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0431\u0435\u0437 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430<\/strong> , \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043e\u0431\u0449\u0438\u0439 \u0444\u0430\u043a\u0442\u043e\u0440 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0430 \u0437\u0430\u0442\u0435\u043c \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0431\u0435\u0437 \u043e\u0431\u0449\u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438.<\/p>\n<p> \u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043d\u044b\u0439 \u0442\u0430\u043a, \u044d\u0442\u043e \u043c\u043e\u0436\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c\u0441\u044f \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0441\u043b\u043e\u0436\u043d\u044b\u043c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0440\u0435\u0448\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0441 \u043e\u0431\u0449\u0438\u043c \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043c:<\/p>\n<ul>\n<li> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9f7b2c27b1431f9362ee4268f48698e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^4-3x^3-x^2+3x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432 \u0437\u0430\u0434\u0430\u0447\u0435 \u043d\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043f\u0440\u0438\u0434\u0435\u0442\u0441\u044f \u0432\u0437\u044f\u0442\u044c \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0415\u0441\u043b\u0438 \u043f\u0440\u0438\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c\u0441\u044f, \u0432\u0441\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0438\u043c\u0435\u044e\u0442 \u0445\u043e\u0442\u044f \u0431\u044b \u043e\u0434\u0438\u043d<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-038741496726a75b03e91a2e030b0287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u0431\u0449\u0438\u0439 \u0444\u0430\u043a\u0442\u043e\u0440<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9cc293b28f198c32e0356b52e2e23bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0438 \u0432\u044b\u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043e\u0431\u0449\u0435\u0433\u043e \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c92203e4f8834fe75ccb4a71340ff7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x\\left(x^3-3x^2-x+3\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"217\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0438\u0437\u0432\u043b\u0435\u043a\u043b\u0438 \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u0435\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 (\u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u044b, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435): <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-les-polynomes-sans-terme-independant.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u0431\u0435\u0437 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430\" class=\"wp-image-1251\" width=\"219\" height=\"303\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u0438\u043b\u0438 \u043d\u0443\u043b\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u0440\u0430\u0432\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3146b4cef2e32a512e054760ad4fd3a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{x=+1 \\qquad x=-1 \\qquad x=+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"241\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u0447\u0442\u043e\u0431\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u0435\u0433\u043e \u043a\u043e\u0440\u043d\u044f\u043c\u0438 \u0432 \u0444\u0430\u043a\u0442\u043e\u0440\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0435 (\u043a\u0430\u043a \u043e\u043f\u0438\u0441\u0430\u043d\u043e \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u0432\u044b\u0448\u0435):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-470b8a931d73b852bee700a6488af525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}P(x) = x\\left(x^3-3x^2-x+3\\right) \\\\[2ex]\\color{red} \\bm{\\downarrow} \\\\[2ex] \\bm{P(x) = x(x-1)(x+1)(x-3)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"234\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043c\u044b \u0443\u0436\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043b\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043d\u0435 \u0431\u044b\u043b\u043e \u0447\u043b\u0435\u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 0. \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0435 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c, \u043d\u043e \u0432\u0441\u0435 \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0448\u0430\u0433\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0442\u0430\u043a\u0436\u0435 \u043a\u043e\u0440\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0438\u0437\u0432\u043b\u0435\u043a\u0430\u0435\u043c \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u0434\u0438\u043d \u0438\u0437 \u043a\u043e\u0440\u043d\u0435\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u0435\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6889ee3f02f0af137641306363d2da7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418\u0442\u0430\u043a, \u0432\u0441\u0435 \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20064fa13be3ed4c61c9b8e4cc4afe1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{x= 0 \\qquad x=+1 \\qquad x=-1 \\qquad x=+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"319\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0434\u043e\u043b\u0436\u0435\u043d \u0438\u043c\u0435\u0442\u044c \u0441\u0442\u043e\u043b\u044c\u043a\u043e \u043a\u043e\u0440\u043d\u0435\u0439, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u0435\u0433\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044c. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 4 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u043c\u0435\u0435\u0442 4 \u043a\u043e\u0440\u043d\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizar-polinomios-con-raices-racionales\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0441 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u043e \u0441\u0438\u0445 \u043f\u043e\u0440 \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441 \u0446\u0435\u043b\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\u0438, \u043e\u0434\u043d\u0430\u043a\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0438 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0441 \u0434\u0440\u043e\u0431\u044f\u043c\u0438. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u0423\u043c\u043d\u043e\u0436\u044c\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043d\u0435\u043f\u043e\u043b\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe7ec3cf4891c96dd472a3328c6a946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 4x^3-7x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0432\u0441\u0435\u0433\u0434\u0430, \u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f\u043c\u0438 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043f\u044b\u0442\u0430\u0442\u044c\u0441\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-des-polynomes-avec-des-racines-rationnelles.jpg\" alt=\"\u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0441 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\u0438\" class=\"wp-image-1268\" width=\"226\" height=\"136\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041d\u043e \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u043a\u043e\u0440\u043d\u0435\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e, \u0435\u0441\u043b\u0438 \u043c\u044b \u043f\u043e\u043f\u044b\u0442\u0430\u0435\u043c\u0441\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0447\u0438\u0441\u043b\u0430\u043c\u0438 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043e\u0441\u0442\u0430\u0442\u043e\u043a, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 \u043d\u0443\u043b\u044f.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u0441\u044f \u0432 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0438, \u043a\u043e\u0433\u0434\u0430 \u0442\u043e\u043b\u044c\u043a\u043e \u0441<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u0435\u043d 0, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0434\u0440\u043e\u0431\u043d\u044b\u0435 \u043a\u043e\u0440\u043d\u0438. \u0414\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u043a\u043e\u0440\u043d\u0435\u0439 \u043c\u044b \u043c\u043e\u0433\u043b\u0438 \u0431\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 \u0434\u0440\u043e\u0431\u044f\u043c\u0438, \u043e\u0434\u043d\u0430\u043a\u043e \u0432 \u0440\u0430\u0441\u0447\u0435\u0442\u0430\u0445 \u043e\u0447\u0435\u043d\u044c \u043b\u0435\u0433\u043a\u043e \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u0442\u044c \u043e\u0448\u0438\u0431\u043a\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u044d\u0442\u0438\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445 \u043c\u044b \u043e\u0431\u044b\u0447\u043d\u043e \u0434\u0435\u043b\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0441 \u0446\u0435\u043b\u044b\u043c\u0438 \u043a\u043e\u0440\u043d\u044f\u043c\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0442\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043a 0 \u0438 \u0440\u0435\u0448\u0438\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0417\u043d\u0430\u0447\u0438\u0442, \u043a\u043e\u0440\u043d\u044f\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0431\u0443\u0434\u0443\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0435 \u0438\u0437 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043a\u043e\u0440\u043d\u0435\u0439 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-polynomes-equation.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b\" class=\"wp-image-1269\" width=\"226\" height=\"215\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u0441\u0442\u0430\u043d\u0430\u0432\u043b\u0438\u0432\u0430\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440-\u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-86de558e97d35772c24d155a06770271_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^2+4x-3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"131\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0418 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-982cd2e82d8511ceb1f93648c3ee61df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0dbd8f544bd58121914b28752b950d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-4 \\pm \\sqrt{4^2-4\\cdot 4\\cdot (-3)}}{2\\cdot 4}= \\cfrac{-4\\pm \\sqrt{16+48}}{8} = \\cfrac{-4 \\pm\\sqrt{64}}{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"484\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f52601e0daafdb92974cfbfe6613733b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x = \\cfrac{-4 \\pm 8}{8} = \\begin{cases}  \\cfrac{-4+8}{8} = \\cfrac{4}{8} = \\cfrac{1}{2} \\\\[4ex]\\cfrac{-4-8}{8} = \\cfrac{-12}{8} = -\\cfrac{3}{2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"312\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-951f2eb0c362c411dbb364b814cd05a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+1 \\qquad x=\\cfrac{1}{2} \\qquad x=-\\cfrac{3}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"230\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u043a\u043e\u0440\u043d\u0438 \u0432 \u0432\u0438\u0434\u0435 \u0434\u0440\u043e\u0431\u0435\u0439.<\/p>\n<p> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0432\u0441\u0435 \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u043b\u0435\u0433\u043a\u043e \u043d\u0430\u0439\u0442\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d, \u0432\u044b\u0440\u0430\u0437\u0438\u0432 \u043a\u0430\u0436\u0434\u044b\u0439 \u043a\u043e\u0440\u0435\u043d\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b24e8b3f28f048c85d6ea0f32d59fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0432\u0438\u0434\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0430 \u0432\u0438\u0434\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f629cb3501652d3b8e4d6a30d92b5d4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u0442\u043e \u0435\u0441\u0442\u044c \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043a\u043e\u0440\u043d\u044f \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0441\u043a\u043e\u0431\u043a\u0443 \u0441<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u043a\u043e\u0440\u0435\u043d\u044c \u043f\u043e\u043c\u0435\u043d\u044f\u043b \u0437\u043d\u0430\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47682def6b604adb2c1ec62c59181f05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(x)= 4\\left(x-1\\right)\\left(x-\\frac{1}{2}\\right)\\left(x+\\frac{3}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"272\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0442\u0430\u043a\u0436\u0435 \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u044b \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0447\u043b\u0435\u043d\u0430 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043d\u0435\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u0435\u043d 4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Casos-especiales-de-la-factorizacion-de-polinomios\"><\/span> \u041e\u0441\u043e\u0431\u044b\u0435 \u0441\u043b\u0443\u0447\u0430\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u0431\u044b\u0447\u043d\u043e \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438 (\u0438\u043b\u0438 \u0441\u0438\u043d\u0442\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435), \u043a\u0430\u043a \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043e \u0432\u044b\u0448\u0435. \u041d\u043e \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0437\u0430\u0434\u0430\u0447\u0438 \u0438\u043d\u043e\u0433\u0434\u0430 \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0431\u044b\u0441\u0442\u0440\u0435\u0435. \u041d\u0438\u0436\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u0438\u0437 \u044d\u0442\u0438\u0445 \u0447\u0430\u0441\u0442\u043d\u044b\u0445 \u0441\u043b\u0443\u0447\u0430\u0435\u0432. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-identidades-notables\"><\/span> \u0423\u0447\u0435\u0442 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0415\u0441\u043b\u0438 \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u043c\u0443 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0443 (\u0438\u043b\u0438 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u043c\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e), \u0435\u0433\u043e \u043e\u0447\u0435\u043d\u044c \u043f\u0440\u043e\u0441\u0442\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c. \u041e\u0434\u043d\u0430\u043a\u043e, \u0447\u0442\u043e\u0431\u044b \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043e\u0441\u0432\u043e\u0438\u0442\u044c  <strong><span style=\"text-decoration: underline;\">\u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0432\u044b\u0434\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439<\/span><\/strong>  , \u0432 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044f \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u044e \u0432\u0430\u043c \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c \u043d\u0430 \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443, \u0433\u0434\u0435 \u0432\u044b \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043d\u043e \u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0432\u044b\u0434\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0435\u0439. \u043b\u0438\u0447\u043d\u043e\u0441\u0442\u0438, \u0438 \u0432\u044b \u0434\u0430\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u044f \u0438\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c.<\/p>\n<h4 class=\"wp-block-heading\"> \u0420\u0430\u0437\u043d\u0438\u0446\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432<\/h4>\n<p> \u041a\u0430\u043a \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430\u043c\u0435\u0442\u043d\u043e\u0433\u043e \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f923a8db837402f512b6289f9c55b22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-b^2=(a+b)\\cdot (a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0435\u0441\u043b\u0438 \u043c\u044b \u043d\u0430\u0439\u0434\u0435\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0438\u0439 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e8c1ff5ed178c14d02192ff8c85b93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"54\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043c\u043e\u0436\u043d\u043e \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u043d\u0435\u043f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u043e.<\/p>\n<p> \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u0440\u0438\u043c\u0435\u0440, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ab016e5ab7f26bfdba5420de9eae026b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9 = (x+3)(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e067558315750d60883807860c2a2b63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-3 \\qquad x=+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"149\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0414\u0440\u0443\u0433\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0431\u0438\u043d\u043e\u043c\u043e\u0432, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0449\u0438\u0445 \u0441\u043e\u0431\u043e\u0439 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a390b06ab6932ccc4f5f3fbe7abdfd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-4=(x+2)(x-2) \\quad \\longrightarrow \\quad \\text{ra\\'ices: } x=-2, +2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"397\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8afd88f2265f4622a54d266f0a22e39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-16=(x+4)(x-4) \\quad \\longrightarrow \\quad \\text{ra\\'ices: } x=-4, +4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"407\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1288583c4a3c4ae7379771e36a25675a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-25=(x+5)(x-5) \\quad \\longrightarrow \\quad \\text{ra\\'ices: } x=-5, +5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"406\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h4 class=\"wp-block-heading\"> \u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430<\/h4>\n<p> \u0412\u044b \u0443\u0436\u0435 \u0434\u043e\u043b\u0436\u043d\u044b \u0437\u043d\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u0432\u0443\u0445 \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0445 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0445\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432: \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f. <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-15\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <strong>\u0421\u0443\u043c\u043c\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u0438<\/strong> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9fa3b0c36dfc418214a76610055f0f6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+2ab+b^2 = (a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <strong>\u0412\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64a8720170a57c4dadc65bb16a53a40f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-2ab+b^2= (a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u043c\u044b \u043f\u043e\u0439\u043c\u0435\u043c, \u0447\u0442\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0434\u043d\u043e\u043c\u0443 \u0438\u0437 \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432, \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0435\u0433\u043e \u043d\u0430\u043f\u0440\u044f\u043c\u0443\u044e. \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u0442\u0435 \u043d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-18\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68811281a183bb1881b2fa5a799f4c86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+6x+9 = (x+3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"> \u0414\u0432\u043e\u0439\u043d\u043e\u0439 \u043a\u043e\u0440\u0435\u043d\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e135cd6350a4c21195c621240f7aee7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-835d8f2fbf4c3d39b940c19563819e62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-8x+16 = (x-4)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"> \u0414\u0432\u043e\u0439\u043d\u043e\u0439 \u043a\u043e\u0440\u0435\u043d\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2145acc2878ed61214887e120f2485b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u044d\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0442\u0438\u043f\u044b \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u0432 \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0441\u043b\u043e\u0436\u043d\u0435\u0435. \u0425\u0438\u0442\u0440\u043e\u0441\u0442\u044c \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u043c \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430, \u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0447\u043b\u0435\u043d \u0431\u043e\u043b\u0435\u0435 \u0432\u044b\u0441\u043e\u043a\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u043c \u043c\u043e\u043d\u043e\u043c\u0430 (\u043e\u0431\u044b\u0447\u043d\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> ), \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f \u0432 \u0441\u043f\u0440\u0430\u0432\u0435\u0434\u043b\u0438\u0432\u043e\u0441\u0442\u0438 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ddef4007f116e84febe922aa24a12bca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2ab\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0440\u0430\u0432\u0435\u043d \u043e\u043a\u043e\u043d\u0447\u0430\u043d\u0438\u044e \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u0447\u043d\u043e\u0433\u043e \u0434\u0438\u043f\u043b\u043e\u043c\u0430.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a4bd9309bbef0daf8a78bdf68d3dda5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+10x+25\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"106\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0412 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u043c\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b. \u0418\u0442\u0430\u043a, \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c 5, \u0442\u0430\u043a \u043a\u0430\u043a \u043e\u043d\u043e \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u0440\u043d\u0435\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u0442\u0430\u043a \u043a\u0430\u043a \u044d\u0442\u043e \u043a\u043e\u0440\u0435\u043d\u044c \u0442\u0435\u0440\u043c\u0438\u043d\u0430 \u043c\u043e\u0436\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-af4b0855281c4c0bc0f6044b1b3c33b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\sqrt{x^2} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"99\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3de5e4f309976794a981c07b460b7ced_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=\\sqrt{25} = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"95\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u041e\u0441\u0442\u0430\u043b\u043e\u0441\u044c \u0442\u0435\u043f\u0435\u0440\u044c \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0441\u0443\u043c\u043c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441 \u0447\u043b\u0435\u043d\u043e\u043c \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u0447\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6bc856a1d19034326a8cbf497ccf1a70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2ab = 10x \\ \\color{blue} \\bm{?}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5aebd0e6397d5edb14bf61460fe20884_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2ab = 2\\cdot x \\cdot 5 = 10 x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u2705<\/p>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0433\u043e \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442\u0441\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be9ab911bb8121aa0797b837f789fbc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+10x+25 = (x+5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418 \u043a\u043e\u0440\u0435\u043d\u044c \u044d\u0442\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f0fdc1717d47916064f25e11eb18b433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-5,\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"61\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0432\u043e\u0439\u043d\u044b\u043c \u043a\u043e\u0440\u043d\u0435\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 (\u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442\u0441\u044f \u0434\u0432\u0430\u0436\u0434\u044b).<\/p>\n<p> \u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0445 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f3df048ecccff6794ae04aebd3098b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-4x+4=(x-2)^2 \\quad \\longrightarrow \\quad \\text{ra\\'iz doble: } x=+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e42fc53bf079ddd1f94f39f1d3cbb79e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+14x+49=(x+7)^2 \\quad \\longrightarrow \\quad \\text{ra\\'iz doble: } x=-7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"412\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36668f39fcb48e7113e0c9502dd1e98e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"9x^2-12x+4=(3x-2)^2 \\quad \\longrightarrow \\quad \\text{ra\\'iz doble: } x=+\\cfrac{2}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"422\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-trinomios-de-segundo-grado\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432 \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u0430\u043a \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u0438\u043d\u043e\u0433\u0434\u0430 \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u044e\u0442\u0441\u044f \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 \u043f\u043e\u043b\u043d\u044b\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b, \u0438 \u0438\u0445 \u043c\u043e\u0436\u043d\u043e \u043d\u0435\u043f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0444\u043e\u0440\u043c\u0443\u043b \u0434\u043b\u044f \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432. \u041d\u043e \u0431\u043e\u043b\u044c\u0448\u0438\u043d\u0441\u0442\u0432\u043e \u0442\u0440\u0438\u043d\u043e\u043c\u043e\u0432 \u043d\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c\u0438, \u0442\u0430\u043a \u043a\u0430\u043a \u0436\u0435 \u043d\u0430\u043c \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u044d\u0442\u0438 \u0441\u043b\u0443\u0447\u0430\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432?<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0414\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u043c\u0435\u0442\u043e\u0434 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043a \u043d\u0443\u043b\u044e \u0438 \u0440\u0435\u0448\u0438\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0443\u0442 \u043a\u043e\u0440\u043d\u044f\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u043d\u0430\u0441 \u043f\u043e\u043f\u0440\u043e\u0441\u044f\u0442 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0441\u0442\u0435\u043f\u0435\u043d\u0438 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36b88a11b04e820a1154acc759f76526_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^2+2x-15\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412\u043c\u0435\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u043c\u044b \u0443\u0441\u0442\u0430\u043d\u0430\u0432\u043b\u0438\u0432\u0430\u0435\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0440\u0430\u0432\u043d\u044b\u043c 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-adffe34777fbc2f8972feba6d1978069_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x-15=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"131\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f 2-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-982cd2e82d8511ceb1f93648c3ee61df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b547af034f4845272c3029db9ac44655_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-2 \\pm \\sqrt{2^2-4\\cdot 1\\cdot (-15)}}{2\\cdot 1}= \\cfrac{-2\\pm \\sqrt{4+60}}{2} = \\cfrac{-2 \\pm\\sqrt{64}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"484\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cd949c11577e283ded1f45e1ba2fa35b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x = \\cfrac{-2 \\pm 8}{2} = \\begin{cases}  \\cfrac{-2+8}{2} = \\cfrac{6}{2} = 3 \\\\[4ex]\\cfrac{-2-8}{2} = \\cfrac{-10}{2} = -5 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"310\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b4a33e3391cf08034f5eb56db357d48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3 \\qquad x=-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0edc3070d203b07e2a6733ea20d32e4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =(x-3)(x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"170\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-trinomios-de-cuarto-grado-con-exponentes-pares\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u043e\u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0441 \u0447\u0435\u0442\u043d\u044b\u043c\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u0430\u043a \u0438 \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0447\u0442\u043e\u0431\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0441 \u0447\u0435\u0442\u043d\u044b\u043c\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f\u043c\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e \u0438 \u0440\u0435\u0448\u0438\u0442\u044c \u0431\u0438\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u043e\u0432\u0430\u043b\u0438 \u043a\u043e\u0440\u043d\u044f\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u0412 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c 4-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12410a6427e804a3da27995f9f1db53b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^4-5x^2+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-538c182becda938701ff5b1d4b18cfe8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^4-5x^2+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0431\u0438\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0441\u0434\u0435\u043b\u0430\u0435\u043c \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b3e2aab5c304c6d5ff967115a60f95f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94dcc4d964c45f24e57e4d079f7fc1e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t^2-5t+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"114\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0420\u0435\u0448\u0430\u0435\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-85e35ac03383600ab404fc9893a559e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77cd61b54d5510fe9247d465ffea7ff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t= \\cfrac{-(-5) \\pm \\sqrt{(-5)^2-4\\cdot 1\\cdot 4}}{2\\cdot 1}= \\cfrac{5\\pm \\sqrt{25-16}}{2} = \\cfrac{5 \\pm\\sqrt{9}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"456\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d5dada92a4b578d23d0e32ab6dac388_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t = \\cfrac{5 \\pm 3}{2} = \\begin{cases}  \\cfrac{5+3}{2} = \\cfrac{8}{2} = 4 \\\\[4ex]\\cfrac{5-3}{2} = \\cfrac{2}{2} = 1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u0442\u043c\u0435\u043d\u044f\u0435\u043c \u0437\u0430\u043c\u0435\u043d\u0443 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u0435\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b3e2aab5c304c6d5ff967115a60f95f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-21\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c269e23a1070b3e5556abece040af75a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cf3da03bf703f0090af0eeb3709440f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\sqrt{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"58\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c06a55e3acdd1e283973786926b27716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\pm 2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-959000af33497314f9a59a9bed2a19c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32986b6409a97918295bdd495b6cb869_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\sqrt{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"58\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2e5d1349000e44cc1988f98254e0389_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf159b0d3425624012695374c1a90482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+2 \\qquad x=-2 \\qquad x=+1 \\qquad x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"331\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u043a\u043e\u0440\u043d\u0438 \u0438\u043b\u0438 \u043d\u0443\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u0435\u043c \u0435\u0433\u043e, \u0432\u044b\u0440\u0430\u0436\u0430\u044f \u0435\u0433\u043e \u043a\u043e\u0440\u043d\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438 \u0432 \u0432\u0438\u0434\u0435 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7eaaf4ac3b4c848127ddfa0ab9d978c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =(x-1)(x+1)(x-2)(x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"278\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-polinomios-por-agrupacion\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043f\u0443\u0442\u0435\u043c \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0412 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u0441\u043e\u0431\u044b\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043c\u043e\u0436\u0435\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u043e\u0441\u043e\u0431\u043e\u0433\u043e \u0442\u0438\u043f\u0430.<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u0432\u0438\u0434\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0760e62da77badd13476ae11abad85a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-ax- bx+ab\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u0443\u0434\u0430\u043b\u0438\u0432 \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2913aa00fe4914d11171a6d74a0f239_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-ax- bx+ab = x(x-a)-b(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"309\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043c\u043e\u0436\u043d\u043e \u0435\u0449\u0435 \u0431\u043e\u043b\u044c\u0448\u0435 \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c, \u0432\u044b\u0434\u0435\u043b\u0438\u0432 \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c \u0432\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0437:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9e72259656373174da6552b009fad25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(x-a)-b(x-a) =(x-a)\\cdot (x-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"293\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u0441\u043c\u043e\u0433\u043b\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043d\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044f \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0438\u043b\u0438 \u043a\u0430\u043a\u043e\u0439-\u043b\u0438\u0431\u043e \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u0435\u0442\u043e\u0434. \u0418 \u043a\u043e\u0440\u043d\u0438 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0431\u0443\u0434\u0443\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ca29d3d668899f2ab265da4648a569b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=a \\qquad x=b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"120\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u044d\u0442\u043e\u0442 \u043c\u0435\u0442\u043e\u0434 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e\u0432\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3821ceccc53eb607d29f39c944625a75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-3x-2x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"130\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0443\u0434\u0430\u043b\u0438\u043c \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0441<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0441 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13401ca14699ffd34366db3cfbf2aba8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-3x-2x+6 = x(x-3)-2(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"302\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418 \u043a\u0430\u043a \u0441\u0435\u0439\u0447\u0430\u0441<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b531622467ab2607de193e88e4c52463_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0431\u0449\u0438\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430, \u043c\u044b \u0438\u0437\u0432\u043b\u0435\u043a\u0430\u0435\u043c \u043e\u0431\u0449\u0438\u0439 \u0444\u0430\u043a\u0442\u043e\u0440 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d50ab8dee5078155995ce61e884141ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"62\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cfb180b19b0bf7dfb17d76d6869ab26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(x-3)-2(x-3)=(x-3)\\cdot (x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"294\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f70b397f33c52e3813f89b96ce0ae44c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3 \\qquad x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"120\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e\u0442 \u043c\u0435\u0442\u043e\u0434 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0435\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043f\u0443\u0442\u0435\u043c \u0438\u0437\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u044f \u0434\u0432\u043e\u0439\u043d\u043e\u0433\u043e \u043e\u0431\u0449\u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0430. \u0425\u043e\u0442\u044f \u044d\u0442\u043e \u043e\u0447\u0435\u043d\u044c \u0431\u044b\u0441\u0442\u0440\u0430\u044f \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430, \u043c\u044b \u043d\u0435 \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043f\u0440\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u044d\u0442\u043e\u0433\u043e \u043c\u0435\u0442\u043e\u0434\u0430 \u0447\u0430\u0441\u0442\u043e \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u044e\u0442 \u043e\u0448\u0438\u0431\u043a\u0438. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432\u044b\u0448\u0435, \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0441\u0442\u0435\u043f\u0435\u043d\u0438 2 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c, \u0440\u0435\u0448\u0438\u0432 \u043f\u0440\u043e\u0441\u0442\u043e\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u043d\u0438\u0447\u0435\u0433\u043e \u043d\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f, \u0435\u0441\u043b\u0438 \u0432\u044b \u043f\u043b\u043e\u0445\u043e \u0440\u0430\u0437\u0431\u0438\u0440\u0430\u0435\u0442\u0435\u0441\u044c \u0432 \u044d\u0442\u043e\u043c \u043c\u0435\u0442\u043e\u0434\u0435.<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u0435\u0449\u0435 \u0431\u043e\u043b\u0435\u0435 \u0441\u043b\u043e\u0436\u043d\u044b\u0435 \u043c\u0435\u0442\u043e\u0434\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438, \u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c LLL, \u043c\u0435\u0442\u043e\u0434 \u041a\u0440\u043e\u043d\u0435\u043a\u0435\u0440\u0430 \u0438 \u043c\u0435\u0442\u043e\u0434 \u0422\u0440\u0430\u0433\u0435\u0440\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0437\u0434\u0435\u0441\u044c \u043d\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u044e\u0442\u0441\u044f \u0438\u0437-\u0437\u0430 \u0438\u0445 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-factorizacion-de-polinomios\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b \u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u043b\u0438\u0441\u044c \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u0442\u0438\u043f\u0430\u043c\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u044e\u0449\u0438\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432, \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0440\u0435\u0448\u0435\u043d\u0438\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439. \u0412\u043e\u0442 \u043f\u043e\u0447\u0435\u043c\u0443 \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0438\u0436\u0435 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432. \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u0432\u043e\u043f\u0440\u043e\u0441\u044b, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0438\u0445 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445 \u0438 \u043c\u044b \u0431\u044b\u0441\u0442\u0440\u043e \u043d\u0430 \u043d\u0438\u0445 \u043e\u0442\u0432\u0435\u0442\u0438\u043c.<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041f\u0440\u043e\u0432\u0435\u0434\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 3-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-797de8956ba7ef9e806e044d8969d8eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-3x^2-6x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u043f\u043e\u043b\u043d\u044b\u0439, \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0432 \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u043c \u0438\u0442\u043e\u0433\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043c\u0435\u0442\u043e\u0434 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u0435\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-pas-a-pas-de-factorisation-de-polynomes.jpg\" alt=\"\u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043f\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-1321\" width=\"218\" height=\"304\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0431\u0443\u0434\u0443\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3c985adaa6800a87a49d517c55c3bc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+1 \\qquad x=-2 \\qquad x=+4\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"241\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b7e45b1e7ee51b6a0d44615479dcaac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 1 \\cdot (x-1)\\cdot (x+2) \\cdot (x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-198255688121f7bf7bc89a1e887b22ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(x)= (x-1)(x+2)(x-4)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"224\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 4-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f752dc1ebbc1db3f61b070a2928503b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^4+x^3-7x^2-x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u043c\u0435\u0442\u043e\u0434 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-de-factorisation-polynomiale-pdf.jpg\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430pdf\" class=\"wp-image-1324\" width=\"251\" height=\"382\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-315cfedf34708088883c3373931e31ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+1 \\qquad x=-1 \\qquad x=2 \\qquad x=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"319\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u0435\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u0443 \u043d\u0430\u0441 \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5054d766aff29b0f07e5af1fbab6c704_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 1 \\cdot (x-1)\\cdot (x+1)\\cdot (x-2) \\cdot (x+3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"339\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e56ee9448e04783abf4fdd7e79b555f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(x)= (x-1)(x+1)(x-2)(x+3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"278\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e2ea1abb94e9122f4a71f70fda9c42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^4-2x^3-13x^2-10x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u043d\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44f0fffdcd54f65965d1ebb37d05a83c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x(x^3-2x^2-13x-10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"240\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u0437\u044f\u043b\u0438 \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c x, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u043a\u043e\u0440\u043d\u0438 \u0438\u043b\u0438 \u043d\u0443\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043c\u0435\u0442\u043e\u0434 \u0420\u0443\u0444\u0444\u0438\u043d\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorisation-des-polynomes-de-ruffini-exercices-resolus-pdf.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f pdf\" class=\"wp-image-1328\" width=\"224\" height=\"286\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u044f\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0442\u0435, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u043d\u0430\u0448\u043b\u0438 \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u043f\u043b\u044e\u0441 x=0 \u043e\u0431\u0449\u0435\u0433\u043e \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6fd9d39f84a3308b2a958a5b213fad9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0 \\qquad x=-1 \\qquad x=-2 \\qquad x=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"304\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0432 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043d\u0430 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0438, \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03584cf729dad52d2ade9eacd54f47d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 1 \\cdot x \\cdot (x+1)\\cdot (x+2)\\cdot (x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"294\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55af6b96ce9ae5be4c9bbc749586ac30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(x)= x(x+1)(x+2)(x-5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0432 \u0444\u0430\u043a\u0442\u043e\u0440\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2eb940210fd5725256a4886885d4f990_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=6x^3+25x^2+21x-10\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e\u0442 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0435\u0433\u043e \u043a\u043e\u0440\u043d\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-des-polynomes-de-degre-3-en-ligne-2.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 3 \u0432 \u0441\u0442\u0440\u043e\u043a\u0435 2\" class=\"wp-image-1334\" width=\"219\" height=\"124\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u041e\u0434\u043d\u0430\u043a\u043e \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0435\u043c \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438, \u043c\u044b \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0442\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0431\u0435\u0437 \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0446\u0435\u043b\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u043e\u043b\u043e\u0436\u0438\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b54e68406556ca63598a2f81ebd4bcac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^2+13x-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"139\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-982cd2e82d8511ceb1f93648c3ee61df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-432e41dd639800e6ae78911e6bdbd440_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-13 \\pm \\sqrt{13^2-4\\cdot 6\\cdot (-5)}}{2\\cdot 6}= \\cfrac{-13\\pm \\sqrt{169+120}}{12} = \\cfrac{-13 \\pm\\sqrt{289}}{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"546\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77785f81018b1d7a46a83d1567af638e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x = \\cfrac{-13 \\pm 17}{12} = \\begin{cases}  \\cfrac{-13+17}{12} = \\cfrac{4}{12} = \\cfrac{1}{3} \\\\[4ex]\\cfrac{-13-17}{12} = \\cfrac{-30}{12} = -\\cfrac{5}{2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"348\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u0438\u043b\u0438 \u043d\u0443\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-208bbe3d807db642e7f3cf8f0245c014_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2 \\qquad x=\\cfrac{1}{3} \\qquad x=-\\cfrac{5}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"230\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0434\u0440\u043e\u0431\u0435\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a0cf1c1c64a18689df2941011dd3389_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(x)= 6\\left(x+2\\right)\\left(x-\\frac{1}{3}\\right)\\left(x+\\frac{5}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"272\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 6-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aff4a9e14858bdbfee31195fdfa05b1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^6-3x^5+14x^3-12x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043b\u0438\u043d\u043e\u043c \u0432 \u0437\u0430\u0434\u0430\u0447\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0443\u0436\u043d\u043e \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0430\u0432\u0435\u043d <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c96aa574fedc2cca3206c8aacdd0255_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4f53c4ed9cd82f1fcd39ecef4480bac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2(x^4-3x^3+14x-12)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0434\u0430\u043b\u0438\u043c \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c, \u043c\u044b \u043d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-des-polynomes-uniques.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0443\u043d\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-1337\" width=\"251\" height=\"206\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u043e \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0434\u043e\u0439\u0434\u0435\u043c \u0434\u043e \u044d\u0442\u043e\u0433\u043e \u044d\u0442\u0430\u043f\u0430, \u043c\u044b \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0442\u044c \u0434\u0432\u0438\u0433\u0430\u0442\u044c\u0441\u044f \u0432\u043f\u0435\u0440\u0435\u0434, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0431\u0435\u0437 \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0446\u0435\u043b\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043a \u043d\u0443\u043b\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-592ad3827d86125b15a72e4c8e8c5ac8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-4x+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"122\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0440\u0435\u0448\u0430\u0435\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-982cd2e82d8511ceb1f93648c3ee61df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7cec78dac4f876f315c815297bbb0ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-(-4) \\pm \\sqrt{(-4)^2-4\\cdot 1\\cdot 6}}{2\\cdot 1}= \\cfrac{4\\pm \\sqrt{16-24}}{2} = \\cfrac{4 \\pm\\sqrt{-8}}{2} \\ \\color{red} \\bm{\\times}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"517\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u0440\u043d\u0435\u0439 \u0438\u0437 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043d\u0435\u0442, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f, \u0430 \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0438\u0442, \u0447\u0442\u043e \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u0431\u043e\u043b\u044c\u0448\u0435 \u043a\u043e\u0440\u043d\u0435\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u0435\u043c\u044b\u043c.<\/p>\n<p class=\"has-text-align-left\"> \u041e\u0434\u043d\u0430\u043a\u043e \u043a\u043e\u0440\u043d\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043d\u0430\u043c \u0443\u0434\u0430\u043b\u043e\u0441\u044c \u043d\u0430\u0439\u0442\u0438, \u0442\u0430\u043a\u043e\u0432\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1373d97d08d53d49fdf8b4f227f5d656_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0 \\qquad x=0 \\qquad x=1 \\qquad x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"290\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043a\u043e\u0440\u0435\u043d\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442\u0441\u044f \u0434\u0432\u0430\u0436\u0434\u044b, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043c\u044b \u0443\u0434\u0430\u043b\u0438\u043b\u0438 \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0430 \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u043e \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043e \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u0432\u043e\u0439\u043d\u043e\u0439 \u043a\u043e\u0440\u0435\u043d\u044c.<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u043e\u043c \u0432\u0441\u0435\u0445 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0445 \u043a\u043e\u0440\u043d\u0435\u0439, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u043d\u044b\u0445 \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u044b.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f629cb3501652d3b8e4d6a30d92b5d4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432 \u0434\u0430\u043b\u044c\u043d\u0435\u0439\u0448\u0435\u043c \u043d\u0435\u043b\u044c\u0437\u044f \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d97b2a369799813209a1ba3e168ed71f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 1 \\cdot x^2 \\cdot (x-1)\\cdot (x+2)\\cdot (x^2-4x+6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"350\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7738a261a919bbff02a7ed19dd408f28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(x)= x^2(x-1)(x+2)(x^2-4x+6)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 6<\/h3>\n<p> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u0432\u0441\u0435\u0445 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb4c5b02f2cac45cb04ff218fb33a38d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ P(x)=x^2 + 12x+36\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5266319b8b4b96bf82cba4cabc3c4830_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ Q(x)=x^2 -64\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"144\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa3aa86769d7a654e72a894bccb94fa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ R(x)=x^2 - 18x+81\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f80148e5fc14408e7ec33fa35f594bdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ S(x)=x^2+10x+24\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043b\u0438\u043d\u043e\u043c \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 A) \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0443, \u0430 \u0438\u043c\u0435\u043d\u043d\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u0441\u0443\u043c\u043c\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0540de8a5f532fb36658af4c9af59dca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2 + 12x+36 = \\bm{(x+6)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"253\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043b\u0438\u043d\u043e\u043c \u0438\u0437 \u0440\u0430\u0437\u0434\u0435\u043b\u0430 \u0411) \u0442\u0430\u043a\u0436\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c, \u0432 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u044d\u0442\u043e \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0432, \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4903083e3b92847cafe379abb0c816a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)=x^2 -64 = \\bm{(x+8)(x-8)}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u043e\u0447\u043d\u043e \u0442\u0430\u043a \u0436\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435 C) \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e, \u0432 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u043e\u043d \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0435\u0433\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0430\u043a\u043e\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce680ba71785064da5c773cda5916be0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(x)=x^2 - 18x+81 = \\bm{(x-9)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"253\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0432 \u0447\u0430\u0441\u0442\u0438 D) \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e\u043c. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0440\u0430\u0432\u043d\u044b\u043c 0 \u0438 \u0440\u0435\u0448\u0438\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0435\u0433\u043e \u043a\u043e\u0440\u043d\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-48364ae74194a23aa761f92c1d5ddc7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+10x+24 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"139\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-982cd2e82d8511ceb1f93648c3ee61df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5c923f0dcbdc9b54568db04cea19263_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-10 \\pm \\sqrt{10^2-4\\cdot 1\\cdot 24}}{2\\cdot 1}= \\cfrac{-10\\pm \\sqrt{100-96}}{2} = \\cfrac{-10 \\pm\\sqrt{4}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"498\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-88934cfbe80af987a03e4fb1a2a72aa7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x = \\cfrac{-10 \\pm 2}{2} = \\begin{cases}  \\cfrac{-10+2}{2} = \\cfrac{-8}{2} = -4 \\\\[4ex]\\cfrac{-10-2}{2} = \\cfrac{-12}{2} = -6\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"328\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0440\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 D) \u0440\u0430\u0432\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef7500f97e6fbdb358f7a4e39d4f33df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-4 \\qquad x=-6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"149\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4c31b7f7d37fa2927e3bc07a2ebb18f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{S(x)=(x+4)(x+6)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"168\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043b\u044e\u0431\u043e\u0433\u043e \u0442\u0438\u043f\u0430. \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u0437\u0430\u0442\u0435\u043c \u043f\u0435\u0440\u0435\u0439\u0434\u0435\u043c \u043a \u0442\u043e\u043c\u0443, \u043a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0443\u044e\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0431\u0435\u0437 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u0437\u0430\u0442\u0435\u043c \u043c\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044e \u043a\u043e\u0440\u043d\u0435\u0432\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441 \u0434\u0440\u043e\u0431\u044f\u043c\u0438 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0447\u0430\u0441\u0442\u043d\u044b\u0435 \u0441\u043b\u0443\u0447\u0430\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u0438 (\u043f\u0440\u0438\u043c\u0435\u0447\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u0430\u0446\u0438\u044f \u043f\u043e \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0430\u043c, \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d\u044b \u0438 \u0442. \u0434.). \u0412\u0441\u0435 \u043f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u0434\u0430\u043d\u044b &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b7%d0%b0%d1%86%d0%b8%d1%8f-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%be%d0%b2-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%b8-%d1%84%d0%b0\/\"> <span class=\"screen-reader-text\">\u041a\u0430\u043a \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b (\u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u043d\u0433)<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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