{"id":57,"date":"2023-09-17T07:26:59","date_gmt":"2023-09-17T07:26:59","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d1%85-%d1%83\/"},"modified":"2023-09-17T07:26:59","modified_gmt":"2023-09-17T07:26:59","slug":"%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d1%85-%d1%83","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d1%85-%d1%83\/","title":{"rendered":"\u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b: \u043a\u0430\u043a \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u0442\u0430\u043a \u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u043c\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439. \u0410 \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u043e\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-polinomica-o-polinomial\"><\/span> \u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 (\u0438\u043b\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435) \u0434\u0435\u043b\u0435\u043d\u0438\u0435<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0438\u043c\u0435\u043d\u043d\u043e \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u043a\u0440\u0430\u0442\u043a\u043e \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u0442\u043e\u043c \u0431\u044b\u043b\u043e \u043b\u0435\u0433\u0447\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u043c\u0435\u0442\u043e\u0434, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u0441\u043e\u0431\u0438\u0440\u0430\u0435\u043c\u0441\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c.<\/p>\n<p> \u0412 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u0443\u0447\u0430\u0441\u0442\u0432\u0443\u044e\u0442 \u0447\u0435\u0442\u044b\u0440\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<ul>\n<li> <strong>\u0414\u0438\u0432\u0438\u0434\u0435\u043d\u0434<\/strong> : \u0440\u0430\u0437\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c.<\/li>\n<li> <strong>\u0414\u0435\u043b\u0438\u0442\u0435\u043b\u044c<\/strong> : \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0434\u0435\u043b\u0438\u0442 \u0434\u0435\u043b\u0438\u043c\u043e\u0435.<\/li>\n<li> <strong>\u0427\u0430\u0441\u0442\u043d\u043e\u0435<\/strong> : \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u043d\u0430 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c.<\/li>\n<li> <strong>\u041e\u0441\u0442\u0430\u0442\u043e\u043a<\/strong> (\u0438\u043b\u0438 \u043e\u0441\u0442\u0430\u0442\u043e\u043a): \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0439\u0441\u044f \u043f\u0440\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432. <\/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\/division-de-polynomes-en-ligne.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043e\u043d\u043b\u0430\u0439\u043d\" class=\"wp-image-727\" width=\"384\" height=\"171\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u0434\u043e\u043b\u0436\u043d\u044b \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u043c\u0435\u0436\u0434\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u0435\u0441\u0442\u044c \u0434\u0432\u0430 \u0442\u0438\u043f\u0430 \u0434\u0435\u043b\u0435\u043d\u0438\u044f:<\/p>\n<ul>\n<li> <strong>\u0422\u043e\u0447\u043d\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<\/strong> : \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043d\u044b\u043c, \u043a\u043e\u0433\u0434\u0430 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0435\u043b\u0438\u043c\u043e\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0440\u0430\u0432\u043d\u043e \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044e, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u043c\u0443 \u043d\u0430 \u0447\u0430\u0441\u0442\u043d\u043e\u0435.<\/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-03b0f25c6ee662a18b5b13eb01dfca53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0438\u0432\u0438\u0434\u0435\u043d\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-0170b983fcc648c0a50265cc7143c9ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043a\u0440\u0430\u0442\u043d\u043e \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ab3160465c716f536f72ff05019a7fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"32\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438 \u0447\u0430\u0441\u0442\u043d\u043e\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a600690e2f19c13f9420f114ce2783ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"36\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0447\u0430\u0441\u0442\u043d\u043e\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f\u043c\u0438 \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e.<\/p>\n<ul>\n<li> <strong>\u0426\u0435\u043b\u043e\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<\/strong> : \u043f\u0440\u0438 \u0446\u0435\u043b\u043e\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u043c (\u0438\u043b\u0438 \u043d\u0435\u0442\u043e\u0447\u043d\u043e\u043c) \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043d\u0435\u043d\u0443\u043b\u0435\u0432\u043e\u0439 (0). \u0422\u043e\u0433\u0434\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f:<\/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-2657eeecea1011960aa78859c32b354f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x) + R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430. \u0422\u043e\u0447\u043d\u0435\u0435, \u043c\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u043c \u0438 \u043c\u043e\u043d\u043e\u043c\u043e\u043c, \u0430 \u0437\u0430\u0442\u0435\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-un-polinomio-entre-un-monomio\"><\/span> \u0414\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u0441\u043f\u043e\u043c\u043d\u0438\u043c, \u043a\u0430\u043a \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043c\u0435\u0436\u0434\u0443 \u0441\u043e\u0431\u043e\u0439 \u043c\u043e\u043d\u043e\u043c\u044b, \u0442\u0430\u043a \u043a\u0430\u043a \u044d\u0442\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e\u0431\u044b \u0438\u043c\u0435\u0442\u044c \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0434\u0435\u043b\u0430\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438.<\/p>\n<p> \u0414\u0435\u043b\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u043c\u0435\u0436\u0434\u0443 \u0441\u043e\u0431\u043e\u0439 \u0438 \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u0435\u0439 \u0434\u0440\u0443\u0433 \u0441 \u0434\u0440\u0443\u0433\u043e\u043c, \u0442. \u0435. \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435. \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:<\/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-2cd82fa96e7489279cd2a3dda6f307e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12x^5: 3x^2 =  \\cfrac{12x^5}{3x^2}=(12:3) x^{5-2} = 4x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"301\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0447\u0442\u043e \u0432\u043a\u043b\u044e\u0447\u0430\u0435\u0442 \u0432 \u0441\u0435\u0431\u044f \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c:<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c <strong>\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c,<\/strong> \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 \u043c\u043e\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\/division-dun-polynome-par-un-monome.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c\" class=\"wp-image-734\" width=\"332\" height=\"267\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0442\u0430\u043a\u0436\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0437\u043d\u0430\u043a\u043e\u0432. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u043e\u0447\u0435\u043d\u044c \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u0430\u044f \u043e\u0448\u0438\u0431\u043a\u0430 \u043f\u0440\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c\u044b \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u043c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0438 \u0437\u043d\u0430\u043a\u0430 \u0447\u043b\u0435\u043d\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-un-polinomio-entre-otro-polinomio\"><\/span> \u0414\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0443\u044e \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u043c\u0435\u0442\u043e\u0434 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0439 \u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0432 \u0434\u043b\u0438\u043d\u0443, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0430\u044f \u043f\u0440\u0438\u043c\u0435\u0440:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043c\u0435\u0436\u0434\u0443 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12d5846d8a96763047fb4c9f458420f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0411\u0443\u0434\u0443\u0447\u0438 \u0434\u0432\u0443\u043c\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438:<\/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-ca77e74e7adc7c5d4ad240dde49f1cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^3+4x^2+12 \\qquad \\qquad Q(x) =x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"340\" 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-08a81d992ddcff769763ef2424236efe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{Q(x)} = \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"70\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\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 \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u043a \u0444\u043e\u0440\u043c\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u044f. \u0421\u043b\u0435\u0432\u0430 \u043f\u0438\u0448\u0435\u043c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 (\u0434\u0435\u043b\u0438\u043c\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c), \u0430 \u0441\u043f\u0440\u0430\u0432\u0430 \u0441\u0442\u0430\u0432\u0438\u043c \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 (\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\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\/comment-diviser-les-polynomes.jpg\" alt=\"\u043a\u0430\u043a \u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-740\" width=\"387\" height=\"39\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#fffde7\"> <strong>\u0412\u043d\u0438\u043c\u0430\u043d\u0438\u0435:<\/strong> \u0435\u0441\u043b\u0438 \u0432 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0435 \u043d\u0435\u0442 \u043c\u043e\u043d\u043e\u043c\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u043d\u0430 \u0435\u0433\u043e \u043c\u0435\u0441\u0442\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043f\u0440\u043e\u0431\u0435\u043b. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \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-742664589ea1a5ebbade880442ef5a31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"105\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u0421\u0440\u043e\u043a \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0433\u043e\u0434\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f \u043e\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u043c\u0435\u0441\u0442\u043e \u043d\u0435\u0433\u043e \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043f\u0443\u0441\u0442\u043e\u0435 \u043c\u0435\u0441\u0442\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\/division-de-polynomes-quand-un-terme-manque.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043f\u0440\u0438 \u043e\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0438\u0438 \u0447\u043b\u0435\u043d\u0430\" class=\"wp-image-743\" width=\"387\" height=\"75\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u043e\u043b\u0443\u0447\u0438\u0432 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b, \u043c\u044b \u043d\u0430\u0439\u0434\u0435\u043c \u0447\u0430\u0441\u0442\u043d\u043e\u0435. \u0418 \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0447\u0430\u0441\u0442\u043d\u043e\u0433\u043e, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u043d\u0430 \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f: <\/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\/regles-de-division-de-polynomes.jpg\" alt=\"\u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-744\" width=\"84\" height=\"58\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418 \u0432\u043c\u0435\u0441\u0442\u043e \u0447\u0430\u0441\u0442\u043d\u043e\u0433\u043e \u0441\u0442\u0430\u0432\u0438\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f: <\/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\/division-de-polynomes-quotient-avec-x.jpg\" alt=\"\u043a\u0430\u043a \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\" class=\"wp-image-763\" width=\"387\" height=\"74\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0439 \u0447\u043b\u0435\u043d \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u0438 \u043a\u0430\u0436\u0434\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043f\u043e\u043c\u0435\u0449\u0430\u0435\u043c \u043f\u043e\u0434 \u0434\u0435\u043b\u0438\u043c\u044b\u043c \u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u043c \u0441\u0442\u043e\u043b\u0431\u0446\u0435 <strong>, \u043c\u0435\u043d\u044f\u044f \u0435\u0433\u043e \u0437\u043d\u0430\u043a<\/strong> : <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-32\">\n<div class=\"wp-block-column is-layout-flow\">\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\/division-de-polynomes-pas-a-pas.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-752\" width=\"420\" height=\"148\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\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-division-pas-a-pas.jpg\" alt=\"\u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c\" class=\"wp-image-759\" width=\"420\" height=\"134\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0438 \u0432\u043e \u0432\u0441\u0435\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f\u0445 \u0441 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438, \u0432\u0430\u0436\u043d\u043e \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043e\u0442 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a \u043d\u0438\u0437\u0448\u0435\u0439, \u0447\u0442\u043e\u0431\u044b \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u043e\u0434\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043d\u0430\u0445\u043e\u0434\u0438\u043b\u0438\u0441\u044c \u0432 \u043e\u0434\u043d\u043e\u043c \u0441\u0442\u043e\u043b\u0431\u0446\u0435.<\/p>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0440\u0430\u0437\u043c\u0435\u0441\u0442\u0438\u043b\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0441 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0447\u043b\u0435\u043d\u044b, \u0432\u044b\u0440\u043e\u0432\u043d\u0435\u043d\u043d\u044b\u0435 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\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\/addition-soustraction-multiplication-et-division-de-polynomes.png\" alt=\"\u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f\" class=\"wp-image-762\" width=\"450\" height=\"121\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043f\u0440\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0438 \u044d\u0442\u043e\u0439 \u0441\u0443\u043c\u043c\u044b \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0441 \u043d\u0430\u0438\u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u044c\u044e \u0441\u043e\u043a\u0440\u0430\u0449\u0430\u0435\u0442\u0441\u044f, \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0443 \u043d\u0430\u0441 \u043d\u0430 \u043e\u0434\u0438\u043d \u0447\u043b\u0435\u043d \u043c\u0435\u043d\u044c\u0448\u0435 \u0432 \u0434\u0438\u0432\u0438\u0434\u0435\u043d\u0434\u0435.<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0442\u044c \u0442\u0443 \u0436\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443 \u0434\u043e \u0442\u0435\u0445 \u043f\u043e\u0440, \u043f\u043e\u043a\u0430 \u0434\u0435\u043b\u0438\u043c\u043e\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u043d\u0435 \u0441\u0442\u0430\u043d\u0435\u0442 \u043d\u0430 \u043e\u0434\u043d\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0435\u043d\u044c\u0448\u0435 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u0435\u043b\u0438\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u043d\u0430 \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f: <\/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\/diviser-polynomes-par-monomes.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0434\u0440\u043e\u0431\u044f\u043c\u0438\" class=\"wp-image-765\" width=\"106\" height=\"61\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u043e\u043c\u0435\u0449\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432 \u0447\u0430\u0441\u0442\u043d\u043e\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\/diviser-avec-des-polynomes.jpg\" alt=\"\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-766\" width=\"450\" height=\"120\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0438 \u043f\u0440\u0435\u0436\u0434\u0435, \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043d\u043e\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0447\u0430\u0441\u0442\u043d\u043e\u0433\u043e \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0438 \u043f\u043e\u043c\u0435\u0449\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u043a\u0430 \u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0441\u0442\u043e\u043b\u0431\u0446\u044b \u0434\u0435\u043b\u0438\u043c\u043e\u0433\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\/diviser-deux-polynomes-par-des-polynomes-2.jpg\" alt=\"\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-785\" width=\"450\" height=\"157\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418 \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\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\/diviser-des-fractions-de-polynomes-2.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0434\u0440\u043e\u0431\u0435\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-786\" width=\"450\" height=\"197\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u043e\u043b\u0438\u043d\u043e\u043c \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u043f\u043e-\u043f\u0440\u0435\u0436\u043d\u0435\u043c\u0443 \u043d\u0438 \u043d\u0430 \u043e\u0434\u043d\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0435\u043d\u044c\u0448\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0442\u044c \u0434\u0435\u043b\u0430\u0442\u044c \u0442\u043e\u0442 \u0436\u0435 \u043f\u0440\u043e\u0446\u0435\u0441\u0441.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0434\u0435\u043b\u0438\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0438\u0432\u0438\u0434\u0435\u043d\u0434\u0430 \u043d\u0430 \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u0437\u0430\u0442\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u0437\u0430\u0442\u0435\u043c \u0441\u0442\u0430\u0432\u0438\u043c \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u043d\u044b\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u043f\u043e\u0434 \u0437\u043d\u0430\u043a \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0435\u043c \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\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\/division-de-deux-polynomes-ou-plus-2.jpg\" alt=\"\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0438 \u0431\u043e\u043b\u0435\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 2\" class=\"wp-image-787\" width=\"450\" height=\"269\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u043c\u044b \u0443\u0436\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438, \u0447\u0442\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u0438\u043c\u0435\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0435\u043d\u044c\u0448\u0443\u044e, \u0447\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0434\u0435\u043b\u0438\u043c\u043e\u0435 \u0438\u043c\u0435\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 0, \u0430 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438\u043c\u0435\u0435\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 1. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0435\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\/degres-dune-division-de-polynomes-2.jpg\" alt=\"\u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-779\" width=\"486\" height=\"343\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0431\u0443\u0434\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\/resultat-d-une-division-de-polynomes.jpg\" alt=\"\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-781\" width=\"246\" height=\"86\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u043b\u0438 \u043c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u043b\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430, \u043e\u0441\u043d\u043e\u0432\u044b\u0432\u0430\u044f\u0441\u044c \u043d\u0430 \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u043c \u0443\u0441\u043b\u043e\u0432\u0438\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\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-2657eeecea1011960aa78859c32b354f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x) + R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"199\" 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-6fcec7b5468a6c0bb572121a522abbf8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12=(x-4) \\cdot (x^2+8x+32) + 140\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"357\" 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-b75f816888653ede8543a9d100f669fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12=x^3+8x^2+32x-4x^2-32x-128+ 140\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"440\" 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-f4d7efc7a1bf11053fb42685599f5cd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12=x^3+4x^2+12\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"234\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u2705<\/p>\n<p> \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442\u0441\u044f, \u0437\u043d\u0430\u0447\u0438\u0442, \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043c\u044b \u0437\u0430\u043a\u043e\u043d\u0447\u0438\u043b\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u043d\u0430\u0434\u0435\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u0441\u043c\u043e\u0433\u043b\u0438 \u043f\u043e\u043c\u043e\u0447\u044c \u0432\u0430\u043c \u0441 \u044d\u0442\u0438\u043c \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435\u043c. \u0427\u0442\u043e \u0432\u044b \u0434\u0443\u043c\u0430\u0435\u0442\u0435 \u043e \u043c\u0435\u0442\u043e\u0434\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432? \u0423 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u044f? \u0412\u0430\u043c \u044d\u0442\u043e \u043d\u0440\u0430\u0432\u0438\u0442\u0441\u044f? \u0418\u043b\u0438 \u0432\u044b \u0431\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u043b\u0438, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u043d\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u043e\u0432\u0430\u043b\u043e? \ud83d\ude02 \u0427\u0438\u0442\u0430\u0435\u043c \u0432\u0430\u0441 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445! \ud83d\udc47\ud83d\udc47\ud83d\udc47 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-division-de-polinomios\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0434\u0435\u043b\u044f\u0449\u0438\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041b\u044e\u0431\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043e\u0442\u0432\u0435\u0447\u0430\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430\u043c:<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong> \u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u0432\u0441\u0435\u0433\u0434\u0430 \u0434\u043e\u043b\u0436\u043d\u0430 \u0431\u044b\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\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-d2b2ef1b20f409f0d0dffe0311c2b415_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{grado } D(x) >\\text{grado } d(x)&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;19&#8243; width=&#187;193&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong> \u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u0441\u0443\u043c\u043c\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0438 \u0447\u0430\u0441\u0442\u043d\u043e\u0433\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-aafc5d6c5e45ff5f6ee0b0d21043650c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{grado } D(x) =\\text{grado } d(x)+\\text{grado } c(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong> \u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043e\u0441\u0442\u0430\u0442\u043a\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f (\u0430 \u0437\u043d\u0430\u0447\u0438\u0442, \u0438 \u0434\u0435\u043b\u0438\u043c\u043e\u0433\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-5cc6e7e89649c55e9d30a82abaf8a37b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{grado } R(x) <\\text{grado } d(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong> \u0414\u0435\u043b\u0438\u043c\u043e\u0435 \u0440\u0430\u0432\u043d\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u043d\u0430 \u0447\u0430\u0441\u0442\u043d\u043e\u0435 \u043f\u043b\u044e\u0441 \u043e\u0441\u0442\u0430\u0442\u043e\u043a. \u042d\u0442\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u0435 \u0441\u0442\u0430\u0432\u0438\u0442\u0441\u044f \u0438 \u043f\u0440\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u0447\u0438\u0441\u0435\u043b. <\/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-2657eeecea1011960aa78859c32b354f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x) + R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-division-de-polinomios\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\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-35e9fb18793954cb42af226f0a0e3935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(15x^5+9x^3 \\right) : \\left(3x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"154\" style=\"vertical-align: -7px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0439 \u043c\u043e\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-ffa558b26adc36e2ac45a842a6cf33df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left(15x^5+9x^3 \\right) : \\left(3x^2\\right) &amp; =  \\cfrac{15x^{5}}{3x^2}+ \\cfrac{9x^3}{3x^2} \\\\[2ex] &amp; = \\bm{5x^3+3x} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043f\u0440\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043c\u0435\u0436\u0434\u0443 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043c\u0435\u0436\u0434\u0443 \u0441\u043e\u0431\u043e\u0439 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439, \u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435.<\/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 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\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-1f30a614f1cf21418258b08ced9d4c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( 16x^5-4x^3-20x^2 \\right) : \\left(4x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"211\" style=\"vertical-align: -7px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0439 \u043c\u043e\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-868da1546d3e4d33e8226774020cbb2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left( 16x^5-4x^3-20x^2 \\right) : \\left(4x^2\\right) &amp; =  \\cfrac{16x^5}{4x^2}+ \\cfrac{-4x^3}{4x^2} + \\cfrac{-20x^2}{4x^2} \\\\[2ex] &amp; = \\bm{4x^3-x-5} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"79\" width=\"428\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043f\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043c\u0435\u0436\u0434\u0443 \u0441\u043e\u0431\u043e\u0439 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u0441 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u044b\u043c \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435\u043c.<\/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> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\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-1fd0d169a07a40153ad63f4f8e4ba0a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(12x^{10}-30x^7-18x^6+54x^4  \\right) : \\left(-6x^3\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"298\" style=\"vertical-align: -7px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u0439 \u043c\u043e\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-a8d5fe46b397f2f531a865e7cb0df3cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left(12x^{10}-30x^7-18x^6+54x^4  \\right) : \\left(-6x^3\\right) &amp; =  \\cfrac{12x^{10}}{-6x^3}+ \\cfrac{-30x^{7}}{-6x^3} + \\cfrac{-18x^6}{-6x^3} + \\cfrac{54x^4}{-6x^3} \\\\[2ex] &amp; = \\bm{-2x^7+5x^4+3x^3-9x} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"82\" width=\"594\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u043c\u0435\u0439\u0442\u0435 \u0432 \u0432\u0438\u0434\u0443, \u0447\u0442\u043e \u0434\u0435\u043b\u044f\u0449\u0438\u0439 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0437\u043d\u0430\u043a\u0438 \u0432\u0441\u0435\u0445 \u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f.<\/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> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\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-459044ab33c7382f69a6251d5f09fa71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^4+x^3-x^2+x+1}{x^3-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"160\" style=\"vertical-align: -12px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u043c\u0435\u0442\u043e\u0434, \u043e\u043f\u0438\u0441\u0430\u043d\u043d\u044b\u0439 \u0432\u044b\u0448\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\/exemples-de-division-de-polynomes.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0435\u043b\u0435\u043d\u0438\u0439\" class=\"wp-image-798\" width=\"483\" height=\"175\" 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, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p class=\"has-text-align-center\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\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-cc79ac27a4802ea8e5f0a37a6889212b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"> \u041e\u0442\u0434\u044b\u0445: <\/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-86c972d4f666d78aa0caa96bce5e0003_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x^2+6x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"102\" style=\"vertical-align: -2px;\"><\/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> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\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-ff119dac6918e0daa7af247ccf97f4f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^3-3x^2-5x-5}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"147\" style=\"vertical-align: -12px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0431\u0438\u043d\u043e\u043c, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u043c\u0435\u0442\u043e\u0434, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432\u044b\u0448\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\/exercices-resolus-pas-a-pas-de-division-de-polynomes.png\" alt=\"\u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-799\" width=\"466\" height=\"240\" 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, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p class=\"has-text-align-center\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\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-ae37fa4e1a18724aca2a10c9ec7f7230_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2+x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"> \u041e\u0442\u0434\u044b\u0445: <\/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-2981688f5b26fd15fa08c897afa741ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-11\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"30\" style=\"vertical-align: 0px;\"><\/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> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\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-f864673bfbdbe68cb2c6df50c72c57bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^4+x^2+3}{x^3+3x^2+2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"107\" style=\"vertical-align: -14px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043d\u044b\u0439 \u043c\u0435\u0442\u043e\u0434: <\/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-division-de-2-polynomes.png\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0434\u0435\u043b\u0435\u043d\u0438\u044f 2-\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-804\" width=\"485\" height=\"177\" 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, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p class=\"has-text-align-center\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\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-193c295d8fc62eac0984aa4fc668bf9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"> \u041e\u0442\u0434\u044b\u0445: <\/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-46cbad1fed9a167108eda3fcea052e57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^2+6x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"98\" style=\"vertical-align: -2px;\"><\/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 7<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\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-988beca7ee36a80a9eb563823d0a961c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^4-2x^3+x^2-x-3}{x^2+x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"168\" style=\"vertical-align: -14px;\"><\/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\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0442\u0440\u0435\u0445\u0447\u043b\u0435\u043d, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u043e\u043f\u0438\u0441\u0430\u043d\u043d\u044b\u0439 \u043c\u0435\u0442\u043e\u0434: <\/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\/diviser-polynomes-exercices.png\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0440\u0435\u0448\u0435\u043d\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043d\u0430 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-808\" width=\"505\" height=\"235\" 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, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0431\u0443\u0434\u0435\u0442:<\/p>\n<p class=\"has-text-align-center\"> \u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\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-9be39dcfede62d2ebf9b02252a7f256f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-3x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"> \u041e\u0442\u0434\u044b\u0445: <\/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-3af87296ebec1f7c956d957453aa3abb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"54\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \ud83d\udc49\ud83d\udc49\ud83d\udc49\u0415\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0448\u043b\u0438 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u043a\u043e, \u0437\u043d\u0430\u0447\u0438\u0442, \u0432\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b. \u042f\u0440\u043a\u0438\u0439! \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u043e\u0441\u0432\u043e\u0438\u043b\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0437\u043d\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u0435\u0442\u043e\u0434, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0438\u0439 <span style=\"text-decoration: underline;\">\u0433\u043e\u0440\u0430\u0437\u0434\u043e \u0431\u044b\u0441\u0442\u0440\u0435\u0435 \u0440\u0435\u0448\u0430\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438<\/span> . \u042d\u0442\u043e <strong><span style=\"text-decoration: underline;\"> \u0441\u0438\u043d\u0442\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0420\u0443\u0444\u0444\u0438\u043d\u0438 <\/span><\/strong> , \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u044d\u0442\u043e\u0442 \u0442\u0440\u044e\u043a \u0438 \u043a\u043e\u0433\u0434\u0430 \u0435\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c, \u043c\u043e\u0436\u043d\u043e, \u043f\u0435\u0440\u0435\u0439\u0434\u044f \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435.\ud83d\ude09<\/p>\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 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b: \u043a\u0430\u043a \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u0442\u0430\u043a \u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u043c\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439. \u0410 \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u043e\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438. \u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 (\u0438\u043b\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435) \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0438\u043c\u0435\u043d\u043d\u043e \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d1%85-%d1%83\/\"> <span class=\"screen-reader-text\">\u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u0435<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[16],"tags":[],"class_list":["post-57","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized 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