{"id":59,"date":"2023-09-17T07:25:02","date_gmt":"2023-09-17T07:25:02","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d1%8b-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc-%d0%be%d0%b1-%d0%be%d1%81%d1%82%d0%b0%d1%82%d0%ba%d0%b0%d1%85-%d0%b8-%d1%83%d0%bf\/"},"modified":"2023-09-17T07:25:02","modified_gmt":"2023-09-17T07:25:02","slug":"%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d1%8b-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc-%d0%be%d0%b1-%d0%be%d1%81%d1%82%d0%b0%d1%82%d0%ba%d0%b0%d1%85-%d0%b8-%d1%83%d0%bf","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d1%8b-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc-%d0%be%d0%b1-%d0%be%d1%81%d1%82%d0%b0%d1%82%d0%ba%d0%b0%d1%85-%d0%b8-%d1%83%d0%bf\/","title":{"rendered":"\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0435 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0435\u0442\u0435)"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 (\u0438\u043b\u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445) \u0438 \u043a\u0430\u043a \u043e\u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043a \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c. \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 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-teorema-del-resto\"><\/span> \u041a\u0430\u043a\u043e\u0432\u0430 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445<\/strong> \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 P(x) \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0432\u0438\u0434\u0430 (xa) \u0440\u0430\u0432\u0435\u043d \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u043c\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 P(x) \u0434\u043b\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f x=a, In \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f P(x):(xa) \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d P(a). <\/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\/theoreme-des-restes.jpg\" alt=\"\u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445\" class=\"wp-image-1041\" width=\"202\" height=\"203\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-teorema-del-resto\"><\/span>\u041f\u0440\u0438\u043c\u0435\u0440 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0420\u0430\u0437\u043e\u0431\u0440\u0430\u0432\u0448\u0438\u0441\u044c \u0441 \u0442\u0435\u043e\u0440\u0435\u043c\u043e\u0439 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0435\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432:<\/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-eba049cd57efaf6f586d13f45f82f98b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^3+2x^2-4x+3 \\qquad \\qquad Q(x)=x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"371\" 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-d4fc4381966c56691db34f3b902a9fec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"38\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043e\u0441\u0442\u0430\u0442\u043e\u043a (\u0438\u043b\u0438 \u0432\u044b\u0447\u0435\u0442) \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u043e\u0439 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0435\u043b\u044f\u0449\u0438\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 (\u0445\u0430), \u0442\u043e \u0435\u0441\u0442\u044c \u043e\u043d \u0438\u043c\u0435\u0435\u0442 \u043f\u0435\u0440\u0432\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f x \u0440\u0430\u0432\u043d\u0430 1 \u0438 \u0438\u043c\u0435\u0435\u0442 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0442\u0430\u043a\u043e\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u0435\u043d \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u043c\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u0434\u0435\u043b\u0438\u043c\u043e\u0433\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430, \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0433\u043e \u0432 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u043c \u0447\u043b\u0435\u043d\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0441 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c, \u0442.\u0435. P (1). <\/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\/theoreme-du-reste-et-du-facteur-pdf.jpg\" alt=\"\u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u0438 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f\u0445pdf\" class=\"wp-image-1048\" width=\"476\" height=\"118\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u043f\u0440\u0438 x=1:<\/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-ff03f53066d698ee3d76e0024f3b51ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(1) &amp;= 1^3+2\\cdot 1^2-4\\cdot 1+3\\\\[2ex] &amp;= 1+2\\cdot 1-4 \\cdot 1+3  \\\\[2ex] &amp; = 1+2-4+3 \\\\[2ex] &amp; =\\bm{2}  \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438 \u0440\u0430\u0432\u0435\u043d 2<\/strong> .<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e <strong><span style=\"text-decoration: underline;\"> \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <\/span><\/strong> , \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0435\u0442 \u0441 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u043c \u043d\u0430\u043c\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\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\/theoreme-du-reste-de-ruffini.jpg\" alt=\"\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445\" class=\"wp-image-1043\" width=\"252\" height=\"133\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \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 \u0431\u0438\u043d\u043e\u043c \u0433\u043e\u0440\u0430\u0437\u0434\u043e \u0431\u044b\u0441\u0442\u0440\u0435\u0435 \u0438 \u043f\u0440\u043e\u0449\u0435, \u0447\u0435\u043c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0420\u0443\u0444\u0444\u0438\u043d\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0433\u043e\u0440\u0430\u0437\u0434\u043e \u043c\u0435\u043d\u044c\u0448\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Teorema-del-resto-y-del-factor\"><\/span> \u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0435 \u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0430\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0418\u0437 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0440\u043d\u044f (\u0438\u043b\u0438 \u043d\u0443\u043b\u044f) \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u043d\u0443\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u0443. \u0418\u0442\u0430\u043a, \u0438\u0437 \u0444\u0430\u043a\u0442\u043e\u0440\u043d\u043e\u0439 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> <strong>\u0424\u0430\u043a\u0442\u043e\u0440\u043d\u0430\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0430<\/strong> \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d P(x) \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0444\u043e\u0440\u043c\u044b (xa) \u0442\u043e\u0433\u0434\u0430 \u0438 \u0442\u043e\u043b\u044c\u043a\u043e \u0442\u043e\u0433\u0434\u0430, \u043a\u043e\u0433\u0434\u0430 P(a)=0. \u0418 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e a \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(x).<\/p>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d, \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u044d\u0442\u043e\u0433\u043e \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 P(a)=0.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\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-f3d378a4916cbd7a268ed60de50589d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2+2x-8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u042d\u0442\u043e\u0442 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 \u0431\u0438\u043d\u043e\u043c (x-2), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 P(2)=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-1e90c14ff06cdfa041299e016051b1dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(2) &amp;= 2^2+2\\cdot 2-8\\\\[2ex] &amp;= 4+4-8 \\\\[2ex] &amp; =\\bm{0} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 x=2 \u0441\u043e\u043a\u0440\u0430\u0449\u0430\u0435\u0442 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d P(x), \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e x=2 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u0440\u043d\u0435\u043c \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u0418 \u0434\u0430\u043b\u0435\u0435, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 P(2)=0, \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 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0437\u043d\u0430\u0442\u044c, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\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-ba6849f9b139a364e36b1e7f461969c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2+2x-8}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<p> \u0440\u0430\u0432\u0435\u043d 0. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-teorema-del-resto\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0437\u0430\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f. \u0421\u043e\u0432\u0435\u0442\u0443\u0435\u043c \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0441\u0430\u043c\u043e\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u044c\u043d\u043e, \u0430 \u043f\u043e\u0442\u043e\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u043b\u0438 \u0432\u044b \u0435\u0433\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u043b\u0438.<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0434\u0435\u043b\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-d4fc4381966c56691db34f3b902a9fec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"38\" style=\"vertical-align: -17px;\"><\/p>\n<p> , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0449\u0438\u0435 \u0441\u043e\u0431\u043e\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b, \u0443\u0447\u0430\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0432 \u043e\u043f\u0435\u0440\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-4201895897fc514d2ec7ef49b43ca580_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^3+4x^2-2x+1\\qquad \\qquad Q(x)=x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"371\" 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 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0438\u0437 \u0447\u043b\u0435\u043d\u0430 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043f\u0440\u0438\u0447\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u0447\u043b\u0435\u043d\u0435 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0430\u0432\u0435\u043d 1. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445.<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0434\u0435\u043b\u0438\u043c\u044b\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0432 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u043c \u0447\u043b\u0435\u043d\u0435 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0441 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c, \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c P(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-23790b78a8463a23a7b8202ab544ade9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(2) &amp;= 2^3+4\\cdot 2^2-2\\cdot 2+1\\\\[2ex] &amp;=8+4\\cdot 4-2\\cdot 2+1  \\\\[2ex] &amp; = 8+16-4+1 \\\\[2ex] &amp; =\\bm{21}  \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438 \u0440\u0430\u0432\u0435\u043d 21<\/strong> .<\/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> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \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-82d5f84d7abf17919f73133b0624418d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^4-2x^3+5x^2-3x+4 ,\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0441\u0442\u0430\u0442\u043e\u043a, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0435\u0433\u043e \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0438\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432: <\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d8cd22b173b522307e57fd84bcd5cf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x-1 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2dd9c5036ff9ff34b1ea263893f64e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x+1 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-65e5cacdc716b7c9a064099e0ee78439_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(x+2 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2a7b8e26b769665de5041f278d15686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(x-3 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\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\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435 \u0434\u0435\u043b\u044f\u0449\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0442 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u0443 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043e\u0441\u0442\u0430\u0442\u043a\u0430 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0434\u0435\u043b\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-f8ae7d7c667bf9ca6bd7417356756447_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\mathbf{A}\\bm{)} \\ P(1) &amp;= 1^4-2\\cdot 1^3+5\\cdot 1^2-3\\cdot 1+4\\\\[2ex] &amp;=1-2\\cdot 1+5\\cdot 1 -3 \\cdot 1+4 \\\\[2ex] &amp; = 1-2+5-3+4 \\\\[2ex] &amp; =\\bm{5} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"307\" 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-e2a31e7c1334f8d1a24ba246d0459e4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\mathbf{B}\\bm{)} \\ P(-1) &amp;= (-1)^4-2\\cdot (-1)^3+5\\cdot (-1)^2-3\\cdot (-1)+4\\\\[2ex] &amp;=1-2\\cdot (-1)+5\\cdot 1 -3 \\cdot (-1)+4 \\\\[2ex] &amp; = 1+2+5+3+4 \\\\[2ex] &amp; =\\bm{15} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"431\" 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-2e8191f6ce490a0786515d84efaf45ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\mathbf{C}\\bm{)} \\ P(-2) &amp;= (-2)^4-2\\cdot (-2)^3+5\\cdot (-2)^2-3\\cdot (-2)+4\\\\[2ex] &amp;=16-2\\cdot (-8)+5\\cdot 4 -3 \\cdot (-2)+4 \\\\[2ex] &amp; = 16+16+20+6+4 \\\\[2ex] &amp; =\\bm{62} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"430\" 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-2d2e1e17bbcf91abb36d8cad24cadf0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\mathbf{D}\\bm{)} \\ P(3) &amp;= 3^4-2\\cdot 3^3+5\\cdot 3^2-3\\cdot 3+4\\\\[2ex] &amp;=81-2\\cdot 27+5\\cdot 9 -3 \\cdot 3+4 \\\\[2ex] &amp; = 81-54+45-9+4 \\\\[2ex] &amp; =\\bm{67} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"308\" 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 3<\/h3>\n<p> \u041f\u043e\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0434\u043e\u043b\u0436\u0435\u043d \u0441\u0442\u043e\u0438\u0442\u044c \u043f\u0430\u0440\u0430\u043c\u0435\u0442\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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0442\u0430\u043a \u0447\u0442\u043e \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\u043e\u0432<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4fc4381966c56691db34f3b902a9fec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"38\" style=\"vertical-align: -17px;\"><\/p>\n<p> \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u044b 3, \u043f\u0440\u0438\u0447\u0435\u043c \u043e\u0431\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\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-39aa975b852cd190f864491d029e3d58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^3-5x^2-mx+9 \\qquad \\qquad Q(x)=x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"379\" 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 \u0434\u0430\u043d\u043d\u043e\u043c \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0435\u043b\u044f\u0449\u0438\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043c\u043e\u043d\u043e\u043c\u0430 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430, \u043f\u0440\u0438\u0447\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0435 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0430\u0432\u0435\u043d 1. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445.<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0447\u0442\u043e\u0431\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d \u0434\u0435\u043b\u044f\u0449\u0435\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0441\u043c\u0435\u043d\u0443 \u0437\u043d\u0430\u043a\u0430 \u0442\u0430\u043c, \u0433\u0434\u0435 \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0435 \u0435\u0441\u0442\u044c x, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0440\u0435\u0448\u0438\u0442\u044c P (-3).<\/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-693cd65a618f884d0dd1be2f20594229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-3) &amp;=(-3)^3-5\\cdot (-3)^2-m\\cdot (-3)+9\\\\[2ex] &amp;=-27-5\\cdot 9 -m\\cdot (-3)+9 \\\\[2ex] &amp; = -27-45+3m+9 \\\\[2ex] &amp; =3m-63 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"323\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u043e, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u043d\u044b\u0439 \u043d\u0430 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\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-d4a447f470995624a31e9fc621325af2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u0432 \u0443\u0441\u043b\u043e\u0432\u0438\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u0441\u044f, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0434\u043e\u043b\u0436\u0435\u043d \u0440\u0430\u0432\u043d\u044f\u0442\u044c\u0441\u044f \u0442\u0440\u0435\u043c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0439 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0440\u0430\u0432\u043d\u044b\u043c 3:<\/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-c683d547456ad6fc7d9a9c123be3ce3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3m-63 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0440\u0435\u0448\u0430\u0435\u043c \u0443\u0440\u0430\u0432\u043d\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-dd907c2a7cc446f45435dd543851062a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3m = 3+63\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"97\" 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-89214c7e36a0809ce927b0de14579ff7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3m = 66\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" 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-be9d6df593c2b5cd5333f8450a1e2afa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{66}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"59\" 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-8631ca446a606a9511ad9a1bbf07bf1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{m = 22}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" 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 4<\/h3>\n<p> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043e \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435 \u0438 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \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-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> \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\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-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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16c539cdb7c8de8425a9d943f4ffa4df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =-2x^3-5x^2-x+2 \\qquad \\qquad Q(x)=x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"385\" 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\"> \u0422\u0430\u043a \u0447\u0442\u043e \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-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> \u0434\u0435\u043b\u0438\u0442\u044c\u0441\u044f \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\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-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438 \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u0442\u043e\u0447\u043d\u044b\u043c, \u0438 \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u0434\u043e\u043b\u0436\u0435\u043d \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e.<\/p>\n<p class=\"has-text-align-left\"> \u0422\u043e\u0433\u0434\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \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-f8aa3ce3e7e742e73a1b997a758126f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2),\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u041f\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u043d\u043e\u0439 \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\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-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> \u0431\u0443\u0434\u0435\u0442 \u0434\u0435\u043b\u0438\u0442\u044c\u0441\u044f \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\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-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0435\u0441\u043b\u0438 \u043e\u043d \u0437\u0430\u043f\u043e\u043b\u043d\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-ba038b936f6d3cecf0aac3be3a9fbcbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043f\u043e\u0434\u0442\u0432\u0435\u0440\u0436\u0434\u0430\u0435\u0442\u0441\u044f \u043b\u0438 \u044d\u0442\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\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-921817de49081656ab2dd5a8fc6a97ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=0 \\quad \\color{blue} \\bm{?}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" 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-5e8793835809000092b15eaec3877c18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp;=-2\\cdot (-2)^3-5\\cdot (-2)^2-(-2)+2\\\\[2ex] &amp;=-2 \\cdot (-8) -5 \\cdot 4+2 +2\\\\[2ex] &amp; =16-20+2+2 \\\\[2ex] &amp; =0\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"329\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e, \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u0434\u0438\u0432\u0438\u0437\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-d4fc4381966c56691db34f3b902a9fec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"38\" style=\"vertical-align: -17px;\"><\/p>\n<p> \u0440\u0430\u0432\u0435\u043d 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\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-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> \u0414\u0430, \u043e\u043d \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\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-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>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0427\u0442\u043e \u0432\u044b \u0434\u0443\u043c\u0430\u0435\u0442\u0435 \u043e\u0431 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0438? \u0422\u0435\u0431\u0435 \u043f\u043e\u043d\u0440\u0430\u0432\u0438\u043b\u043e\u0441\u044c? \u0411\u0443\u0434\u0435\u043c \u043d\u0430\u0434\u0435\u044f\u0442\u044c\u0441\u044f! \u041d\u0435 \u0437\u0430\u0431\u044b\u0432\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043d\u0430\u043c \u0441\u0432\u043e\u0438 \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445. \u2b07\u2b07\u2b07 \u041c\u044b \u0432\u0430\u0441 \u0432\u0441\u0435\u0445 \u0447\u0438\u0442\u0430\u0435\u043c! \ud83d\ude01\ud83d\ude01<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 (\u0438\u043b\u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445) \u0438 \u043a\u0430\u043a \u043e\u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043a \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c. \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 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445. \u041a\u0430\u043a\u043e\u0432\u0430 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445 \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u043e\u0442 \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 P(x) \u043d\u0430 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d1%8b-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc-%d0%be%d0%b1-%d0%be%d1%81%d1%82%d0%b0%d1%82%d0%ba%d0%b0%d1%85-%d0%b8-%d1%83%d0%bf\/\"> <span class=\"screen-reader-text\">\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0435 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0435\u0442\u0435)<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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