{"id":56,"date":"2023-09-17T07:27:21","date_gmt":"2023-09-17T07:27:21","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%83%d0%bc%d0%bd%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%83%d0%bf%d1%80%d0%b0%d0%b6\/"},"modified":"2023-09-17T07:27:21","modified_gmt":"2023-09-17T07:27:21","slug":"%d1%83%d0%bc%d0%bd%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%83%d0%bf%d1%80%d0%b0%d0%b6","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%83%d0%bc%d0%bd%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%83%d0%bf%d1%80%d0%b0%d0%b6\/","title":{"rendered":"\u0423\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 (\u0438\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435) \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432"},"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 \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b. \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 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a\u043e\u0432\u044b \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. <\/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-multiplier-2-polynomes.png\" alt=\"\u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-586\" width=\"216\" height=\"217\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043f\u043e\u043d\u044f\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043c\u044b \u043f\u0440\u043e\u0434\u0432\u0438\u043d\u0435\u043c\u0441\u044f \u043e\u0442 \u0441\u0430\u043c\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e \u043a \u0441\u0430\u043c\u043e\u043c\u0443 \u0441\u043b\u043e\u0436\u043d\u043e\u043c\u0443, \u0442\u043e \u0435\u0441\u0442\u044c \u043d\u0430\u0447\u043d\u0435\u043c \u0441 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u0447\u0438\u0441\u043b\u043e, \u0430 \u0437\u0430\u0442\u0435\u043c \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u0447\u0438\u0441\u043b\u043e. \u043c\u043e\u043d\u043e\u043c \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u0434\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0432\u043c\u0435\u0441\u0442\u0435.<\/p>\n<p> \u0421\u043e\u0432\u0435\u0442\u0443\u044e \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u0442\u0430\u043a\u043e\u043c\u0443 \u043f\u043e\u0440\u044f\u0434\u043a\u0443, \u043d\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u0441\u0447\u0438\u0442\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0443\u0436\u0435 \u043e\u0441\u0432\u043e\u0438\u043b\u0438 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u0441 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438, \u0442\u043e \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043d\u0435\u043f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u043a \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044e \u043c\u0435\u0436\u0434\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438, \u043d\u0430\u0436\u0430\u0432 \u043d\u0430 \u0438\u043d\u0434\u0435\u043a\u0441: <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-numero\"><\/span> \u0423\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u0447\u0438\u0441\u043b\u043e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0441\u043a\u0430\u043b\u044f\u0440\u0430 (\u0438\u043b\u0438 \u0447\u0438\u0441\u043b\u0430) \u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0435\u0448\u0438\u0442\u044c \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e, \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e <strong>\u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u043e \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430<\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nombre-de-multiplication-par-polynome.jpg\" alt=\"\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0447\u0438\u0441\u043b\u0430 \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\" class=\"wp-image-593\" width=\"305\" height=\"150\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0417\u043d\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u0434 \u043a\u0440\u0443\u0433\u043b\u044b\u043c\u0438 \u0441\u043a\u043e\u0431\u043a\u0430\u043c\u0438 \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0443\u0441\u0442\u0438\u0442\u044c. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-794a3972ecb155b810fc6833caa7d1a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 2\\cdot (5x^4-6x^2) =  \\\\[2ex] =2 (5x^4-6x^2)= \\\\[2ex] = 10x^4-12x^2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-monomio\"><\/span> \u0423\u043c\u043d\u043e\u0436\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 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u043c\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u0441\u043f\u043e\u043c\u043d\u0438\u043c, \u043a\u0430\u043a \u043c\u043e\u043d\u043e\u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c \u044d\u0442\u043e, \u0447\u0442\u043e\u0431\u044b \u0438\u043c\u0435\u0442\u044c \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u044f\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> \u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430 \u0438 \u0438\u0445 \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u0435\u0439 \u0434\u0440\u0443\u0433 \u043d\u0430 \u0434\u0440\u0443\u0433\u0430, \u0442. \u0435. \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438 \u0441\u043a\u043b\u0430\u0434\u044b\u0432\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\u044b\u0435 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f. \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-1a80e193c5d8ecc70d1435dbd2ebea1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2 \\cdot 4x^5 = (3\\cdot 4) x^{2+5} = 12x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043e\u043d\u043e\u043c \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d:<\/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>\u0437\u0430\u0434\u0430\u0447\u0443 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043e\u043d\u043e\u043c\u0430 \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d,<\/strong> \u043c\u043e\u043d\u043e\u043c \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/multiplication-d-un-polynome-par-un-monome.jpg\" alt=\"\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c\" class=\"wp-image-601\" width=\"407\" height=\"220\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0438 \u0440\u0430\u043d\u044c\u0448\u0435, \u0437\u043d\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0443\u0441\u0442\u0438\u0442\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3c8bf0b635315032c46506aee223e29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} -4x \\cdot (2x^3-5x^2)= \\\\[2ex] =-4x (2x^3-5x^2)=\\\\[2ex] = -4x\\cdot 2x^3 -4x \\cdot (-5x^2) = \\\\[2ex] =-8x^4 +20x^3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"217\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435, \u0447\u0442\u043e \u043f\u0440\u0438 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\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 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0438 \u043c\u043e\u043d\u043e\u043c\u043e\u0432 \u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u2014 \u044d\u0442\u043e \u043d\u0435\u0432\u0435\u0440\u043d\u044b\u0439 \u0437\u043d\u0430\u043a \u0447\u043b\u0435\u043d\u0430.<\/p>\n<p> \u041d\u0430\u0432\u0435\u0440\u043d\u044f\u043a\u0430 \u0432 \u043a\u0430\u043a\u043e\u0439-\u0442\u043e \u043c\u043e\u043c\u0435\u043d\u0442, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438 \u0447\u0442\u043e-\u0442\u043e \u043d\u043e\u0432\u043e\u0435 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0432\u044b \u0441\u043f\u0440\u043e\u0441\u0438\u043b\u0438 \u0441\u0435\u0431\u044f: <span style=\"text-decoration: underline;\">\u0434\u043b\u044f \u0447\u0435\u0433\u043e \u044d\u0442\u043e \u043d\u0443\u0436\u043d\u043e<\/span> ? \u041d\u0443, \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f <strong><span style=\"text-decoration: underline;\"> \u043e\u0431\u0449\u0435\u0433\u043e \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 <\/span><\/strong> , \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b (\u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u0435\u0437\u043d\u043e). \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438 \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u043c\u043e\u0436\u043d\u043e \u043f\u043e \u044d\u0442\u043e\u0439 \u0441\u0441\u044b\u043b\u043a\u0435.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-dos-polinomios\"><\/span> \u0423\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043d\u0430 \u0447\u0438\u0441\u043b\u0430 \u0438 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c\u044b, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0438 \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b. <\/p>\n<div style=\"background-color:#ffebee;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px;  border-radius:20px;\">\n<p style=\"text-align:left; margin-bottom:15px;\"> \u0427\u0442\u043e\u0431\u044b <strong>\u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b,<\/strong> \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f:<\/p>\n<ol style=\"font-weight: bold;\">\n<li style=\"margin-bottom:8px;\"> <span style=\"font-weight: normal;\">\u0423\u043c\u043d\u043e\u0436\u044c\u0442\u0435 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430.<\/span><\/li>\n<li> <span style=\"font-weight: normal;\">\u0421\u043b\u043e\u0436\u0438\u0442\u0435 (\u0438\u043b\u0438 \u0432\u044b\u0447\u0442\u0438\u0442\u0435) \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b \u043e\u0434\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 (\u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b).<\/span><\/li>\n<\/ol>\n<\/div>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0442\u043e\u0447\u043d\u043e \u043f\u043e\u043d\u044f\u0442\u044c, \u0447\u0442\u043e \u044d\u0442\u043e \u0437\u0430 \u043c\u0435\u0442\u043e\u0434, \u043c\u044b \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0440\u0435\u0448\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432: <\/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-multiplication-de-polynomes.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-618\" width=\"326\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0449\u0435\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/multiplication-de-polynomes.jpg\" alt=\"\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-619\" width=\"333\" height=\"224\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\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\/multiplication-de-polynomes-pas-a-pas.jpg\" alt=\"\u0443\u043c\u043d\u043e\u0436\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-620\" width=\"399\" height=\"90\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u0434\u0435\u043b\u0430\u0435\u043c \u0432\u0441\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432: <\/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\/produit-de-deux-polynomes.jpg\" alt=\"\u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-3014\" width=\"436\" height=\"50\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0438\u043b\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b, \u043d\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u0447\u043b\u0435\u043d\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u0445\u043e\u0436\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0447\u043b\u0435\u043d\u044b, \u0438\u043c\u0435\u044e\u0449\u0438\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u0431\u0443\u043a\u0432\u0443 \u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/multiplication-de-polynomes-par-polynomes-deux.jpg\" alt=\"\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-684\" width=\"436\" height=\"116\" 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 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\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-multiplication-de-polynomes.jpg\" alt=\"\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f\" class=\"wp-image-685\" width=\"288\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418 \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043c\u044b \u0443\u0436\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043b\u0438 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u0412\u043e\u0437\u043c\u043e\u0436\u043d\u043e, \u0441\u0435\u0439\u0447\u0430\u0441 \u0432\u0430\u043c \u044d\u0442\u043e \u043a\u0430\u0436\u0435\u0442\u0441\u044f \u043e\u0447\u0435\u043d\u044c \u0442\u0440\u0443\u0434\u043d\u044b\u043c, \u043d\u043e \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435, \u0447\u0442\u043e, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0431\u0443\u0434\u0435\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c \u0434\u0432\u0430-\u0442\u0440\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u044d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 \u043d\u0430\u043c\u043d\u043e\u0433\u043e \u043b\u0435\u0433\u0447\u0435.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0432\u0430\u043c, \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e, \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u0443\u0437\u043d\u0430\u0442\u044c <strong><span style=\"text-decoration: underline;\"> , \u043a\u0430\u043a \u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b <\/span><\/strong> . \u041d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0434\u0435\u043b\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0433\u043e\u0440\u0430\u0437\u0434\u043e \u0441\u043b\u043e\u0436\u043d\u0435\u0435, \u0447\u0435\u043c \u0438\u0445 \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043b\u0438 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443 (\u0438 \u0441\u043e\u0432\u0435\u0442\u044b\ud83d\ude09) \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0435\u0435 \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043f\u043e\u043d\u044f\u0442\u044c. \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e, \u043d\u0430\u0436\u043c\u0438\u0442\u0435 \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443, \u0447\u0442\u043e\u0431\u044b \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0434\u0435\u043b\u044f\u0442\u0441\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-polinomios-vertical\"><\/span> \u0412\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043f\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438, \u043d\u043e \u044d\u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0438 \u0431\u043e\u043b\u0435\u0435 \u043a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u043c: \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u044d\u0442\u043e\u0442 \u043c\u0435\u0442\u043e\u0434 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f, \u0440\u0435\u0448\u0438\u0432 \u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f.<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5478df383296dfba5baa18b100c8f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5x^2+3x-4) \\cdot (2x^2-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u0440\u0430\u0437\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u043e\u0434\u0438\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0438\u0436\u0435 \u0434\u0440\u0443\u0433\u043e\u0433\u043e, \u043a\u0430\u043a \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432: <\/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\/multiplication-de-polynomes-en-ligne.jpg\" alt=\"\u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043e\u043d\u043b\u0430\u0439\u043d\" class=\"wp-image-638\" width=\"259\" height=\"71\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u043d\u0438\u0436\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0433\u043e \u0432\u044b\u0448\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0438 \u0440\u0430\u0437\u043c\u0435\u0449\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b, \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u043d\u044b\u0435 \u043f\u043e \u0441\u0442\u043e\u043b\u0431\u0446\u0430\u043c \u043e\u0442 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a \u043d\u0438\u0437\u0448\u0435\u0439: <\/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\/operations-avec-polynomes-2.jpg\" alt=\"\u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438\" class=\"wp-image-641\" width=\"259\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e \u0432\u044b\u0440\u043e\u0432\u043d\u0435\u043d\u043d\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b: <\/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\/multiplication-de-polynomes-verticaux-2.jpg\" alt=\"\u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435\" class=\"wp-image-645\" width=\"303\" height=\"193\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u043f\u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u043b\u0438\u0441\u044c \u0441 \u0434\u0432\u0443\u043c\u044f \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u043c\u0438 \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, <span style=\"text-decoration: underline;\">\u0437\u043d\u0430\u0435\u0442\u0435 \u043b\u0438 \u0432\u044b, \u0447\u0442\u043e \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u0434\u0440\u043e\u0431\u0438 \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b<\/span> ? \u0418 \u0441 \u044d\u0442\u0438\u043c\u0438 \u0432\u0438\u0434\u0430\u043c\u0438 \u0434\u0440\u043e\u0431\u0435\u0439 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f, \u043d\u043e \u0438 \u0432\u0441\u0435\u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f. \u041d\u0430\u0436\u043c\u0438\u0442\u0435 \u043d\u0430 \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443 \u0438 \u0443\u0437\u043d\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 <strong> <span style=\"text-decoration: underline;\">\u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0434\u0440\u043e\u0431\u0438<\/span> <\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-multiplicacion-de-polinomios\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> <strong>\u041a\u043e\u043c\u043c\u0443\u0442\u0430\u0442\u0438\u0432\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e<\/strong> : \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043d\u0435 \u043c\u0435\u043d\u044f\u0435\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0443\u043c\u043d\u043e\u0436\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-c665d7a99e0bd16f64cea1b0e4cf64b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\\cdot Q(x) = Q(x) \\cdot P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u0410\u0441\u0441\u043e\u0446\u0438\u0430\u0442\u0438\u0432\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e<\/strong> : \u043f\u0440\u0438 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0438 \u0442\u0440\u0435\u0445 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e \u043e\u0442 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u043d\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u044b:<\/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-52bdfe9c0c3f2ad39f0d4c39d492f84f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(P(x) \\cdot Q(x)\\bigr) \\cdot R(x) =P(x) \\cdot \\bigl(Q(x) \\cdot R(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"330\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u0420\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e<\/strong> : \u0441\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0442\u0440\u0435\u0442\u0438\u0439, \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0433\u043e \u043d\u0430 \u0442\u0440\u0435\u0442\u0438\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d.<\/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-f71d8843b4fe23db9bb5d4211e5c666b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\\cdot \\bigl(Q(x)+ R(x)\\bigr) = P(x)\\cdot Q(x) + P(x) \\cdot R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"385\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430<\/strong> , \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-multiplicaciones-de-polinomios\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\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, \u044f \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e \u0432\u0430\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u0440\u0435\u0448\u0438\u0442\u044c \u0438\u0445 \u0441\u0430\u043c\u043e\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u044c\u043d\u043e \u0438 \u0441\u0432\u0435\u0440\u0438\u0442\u044c \u0441\u0432\u043e\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0441 \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u043c \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c. \u0422\u043e\u0433\u0434\u0430 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0437\u0430\u0434\u0430\u0442\u044c \u043d\u0430\u043c \u0432\u0441\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0443\u044e\u0449\u0438\u0435 \u0432\u0430\u0441 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445, \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0440\u0430\u0434\u044b \u0432\u0430\u043c \u043f\u043e\u043c\u043e\u0447\u044c.<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0438 \u0441\u043a\u0430\u043b\u044f\u0440\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-0f92bb2fcd1e07268914dabfd501f2c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4\\cdot (2x^3-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-e60e195551af280adac6e4702910db91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3 \\cdot (-5x^2+9x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" 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-d268a16fd753852a5a84c74273f29fef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5\\cdot(3x^2+4x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" 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-38aa478170ace73944926daa05e12542_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -6\\cdot(4x^5-6x^3+8x^2-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" 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\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u043e \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0422\u0410\u041a: <\/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-b6d1103f19b04ce291474f9132a99591_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4\\cdot (2x^3-4x) =4 \\cdot 2x^3 -4\\cdot 4x = \\bm{8x^3-16x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"363\" 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-2b7bbf5ca26a7268c5d0bd8e2562b626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3 \\cdot (-5x^2+9x) = -3 \\cdot (-5x^2)-3\\cdot 9x = \\bm{15x^2-27x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"448\" 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-20ae447b3f91baaa2df40e25daa0c903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5\\cdot(3x^2+4x-7) = \\bm{15x^2+20x-35}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"306\" 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-42b8fc68ebd70896b62f90ace9face1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -6\\cdot(4x^5-6x^3+8x^2-7) = \\bm{-24x^5+36x^3-48x^2+42}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"463\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438 \u0438 \u043c\u043e\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-df50faa770714f4103aa8dc60e152141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x \\cdot (5x^2+3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-762c5f0cf37df0a8c369ee984a31af27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -4x^2 \\cdot (6x^4-9x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" 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-d5f1f0d9cbc6c9e1681a3ff5388c912b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -5x^3\\cdot (-2x^3+2x^2-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"219\" 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-824570c27cee0bc747658a3787656c77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 3x^2\\cdot(7x^6-4x^5-x^3-3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0443 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043c\u043e\u043d\u043e\u043c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u044d\u0442\u043e\u0442 \u043c\u043e\u043d\u043e\u043c \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430. \u0422\u0410\u041a: <\/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-daea6b99a13b2ffe30a29038625c0a02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x \\cdot (5x^2+3) = 2x \\cdot 5x^2+2x\\cdot 3 = \\bm{10x^3+6x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"373\" 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-c103ea01b567a19443fb7838f496c221_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -4x^2 \\cdot (6x^4-9x^2)= -4x^2 \\cdot 6x^4 - 4x^2 \\cdot (-9x^2) = \\bm{-24x^6+36x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"524\" 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-a0139e2d94ec7f2a5cc7977b98dd5fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -5x^3\\cdot (-2x^3+2x^2-5) = \\bm{10x^6-10x^5+25x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33e8cdad53a820136961a772110b145a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 3x^2\\cdot(7x^6-4x^5-x^3-3x) = \\bm{21x^8-12x^7-3x^5-9x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"447\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \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\u0438\u0445 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0439 \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-c07caa45f98a46549dc6a287e17ef7de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (4x^2 + 1) \\cdot (3x^2-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" 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-9aa3b703bd962c40a809d7ab39cbcf71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (-3x^4+2x) \\cdot (5x^4-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"204\" 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-bc728e8353b0d812f089519ae3f5d0b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (2x^3-5x^2)\\cdot (4x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" 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\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0430 \u0437\u0430\u0442\u0435\u043c \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0447\u043b\u0435\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435. \u0422\u0410\u041a: <\/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-51dbb4634996039c3b67ce506aef648c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l} (4x^2 + 1) \\cdot (3x^2-2) = \\\\[2ex] =4x^2 \\cdot 3x^2 +4x^2\\cdot (-2) +1 \\cdot 3x^2 +1 \\cdot (-2) = \\\\[2ex] = 12x^4-8x^2+3x^2 -2 = \\\\[2ex] = \\bm{12x^4-5x^2-2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"127\" width=\"475\" 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-fba45efd14a187f0eaa210f0561c68a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (-3x^4+2x) \\cdot (5x^4-x) = \\\\[2ex] =-3x^4\\cdot 5x^4 -3x^4\\cdot (-x) +2x \\cdot 5x^4 +2x \\cdot (-x) = \\\\[2ex] = -15x^8+3x^5+10x^5-2x^2 = \\\\[2ex] = \\bm{-15x^8+13x^5-2x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"511\" 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-32417206d212f4b5ee2a6fb53aa77f30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (2x^3-5x^2)\\cdot (4x-7) = \\\\[2ex] =2x^3\\cdot 4x +2x^3\\cdot (-7) -5x^2 \\cdot 4x -5x^2\\cdot (-7) = \\\\[2ex] = 8x^4-14x^3-20x^3+35x^2 = \\\\[2ex] = \\bm{8x^4-34x^3+35x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"495\" 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> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0439 \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-0188425573536d87f56b088fd732e7ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (4x^2-6x+2) \\cdot (5x^3-x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" 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-79ee0e2306fd0c362a95195b5ae595f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (3x^3-2x+7) \\cdot (-4x^3+5x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" 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-fbda9c61d3de18e430577d8e551f8717_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (9x^4-4x^3+x^2)\\cdot (2x^5-4x^4-5x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"303\" 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\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0430 \u0437\u0430\u0442\u0435\u043c \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u0435 \u0447\u043b\u0435\u043d\u044b. \u0422\u0410\u041a: <\/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-ba837feab91328dd1ac60093307a3691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l} (4x^2-6x+2) \\cdot (5x^3-x^2) = \\\\[2ex] =4x^2 \\cdot 5x^3 +4x^2\\cdot (-x^2) -6x \\cdot 5x^3 -6x \\cdot (-x^2) + 2 \\cdot 5x^3 +2 \\cdot (-x^2) = \\\\[2ex] = 20x^5-4x^4-30x^4+6x^3+10x^3-2x^2 = \\\\[2ex] = \\bm{20x^5-34x^4+16x^3-2x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"664\" 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-486aedf31fca13fd2b4af2c72a3b34a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (3x^3-2x+7) \\cdot (-4x^3+5x) = \\\\[2ex] =3x^3 \\cdot (-4x^3) +3x^3\\cdot 5x -2x \\cdot (-4x^3) -2x \\cdot 5x + 7 \\cdot (-4x^3) +7 \\cdot 5x = \\\\[2ex] =-12x^6+15x^4+8x^4-10x^2-28x^3+35x = \\\\[2ex] = \\bm{-12x^6+23x^4-28x^3-10x^2+35x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"667\" 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-81d28b9e6595a4e28d09d46bab74c467_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (9x^4-4x^3+x^2)\\cdot (2x^5-4x^4-5x^3) =  \\\\[2ex] = 18x^9-36x^8-45x^7-8x^8+16x^7+20x^6+2x^7-4x^6-5x^5 = \\\\[2ex] = \\bm{18x^9-44x^8-27x^7+16x^6-5x^5} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"611\" 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 5<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0443\u043c\u043d\u043e\u0436\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-41814d65cc135f30a9afb3bc966962fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (2x^4+3x^3-6x^2+5x-1) \\cdot (4x^2-6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" 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-f234c4e22285b278743a244145b5d551_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\  (x^2-4x+7) \\cdot (-x^3-5x^2+2x+9)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" 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-752db4ceb3d2eb78444b8551b9068510_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (2x^7+6x^5+3x^4-5x^2)\\cdot (4x^6-8x^3-x^2+8)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"382\" 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\"> \u0427\u0442\u043e\u0431\u044b \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 2-\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u043a\u0430\u0436\u0434\u044b\u0439 \u0447\u043b\u0435\u043d \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0430 \u0437\u0430\u0442\u0435\u043c \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b. \u0415\u0449\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-d6d4bb6d12ab30b22cbb7cffc071093c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l}(2x^4+3x^3-6x^2+5x-1) \\cdot (4x^2-6x)=  \\\\[2ex] = 8x^6-12x^5+12x^5-18x^4-24x^4+36x^3+20x^3-30x^2-4x^2+6x  = \\\\[2ex] = \\bm{8x^6-42x^4+56x^3-34x^2+6x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"670\" 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-efacae5cc2c79ff47d4bca96ab082eb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (x^2-4x+7) \\cdot (-x^3-5x^2+2x+9)= \\\\[2ex] =-x^5-5x^4+2x^3+9x^2+4x^4+20x^3-8x^2-36x-7x^3-35x^2+14x+63 = \\\\[2ex] = \\bm{-x^5-x^4+15x^3-34x^2-22x+63} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"727\" 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-2b27ccbbd6344d296250e7dc9f3fbbbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (2x^7+6x^5+3x^4-5x^2)\\cdot (4x^6-8x^3-x^2+8) =  \\\\[2ex] = 8x^{13}-16x^{10}-2x^9+16x^7+24x^{11}-48x^8-6x^7+48x^5+ \\\\[2ex] + \\ 12x^{10}-24x^7-3x^6+24x^4-20x^8+40x^5+5x^4-40x^2  = \\\\[2ex] = \\bm{8x^{13}+24x^{11}-4x^{10}-2x^9-68x^8-14x^7-3x^6+} \\\\[2ex] \\bm{+ \\ 88x^5+29x^4-40x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"579\" 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 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0442\u0440\u0435\u0445 \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-3744967e658727129d7b2bc4b4b61ce1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x^2-3) \\cdot (-5x^4+3x^2-6) \\cdot (9x^3-6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"309\" 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\"> \u0420\u0430\u0431\u043e\u0442\u0430 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 2-\u0445 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0439 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0442\u043e\u0447\u043d\u0435\u0435 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u0432\u0443\u0445 \u0431\u0438\u043d\u043e\u043c\u043e\u0432 \u0438 \u0442\u0440\u0451\u0445\u0447\u043b\u0435\u043d\u0430. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0439\u0442\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435, \u0430 \u0437\u0430\u0442\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043d\u0430 \u043e\u0441\u0442\u0430\u0432\u0448\u0438\u0439\u0441\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u043e\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9860e611d9fee24111ec42d5451366f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} (2x^2-3) \\cdot (-5x^4+3x^2-6) \\cdot (9x^3-6x) = \\\\[2ex] = \\bigl[-10x^6+6x^4-12x^2+15x^4-9x^2+18 \\bigr]\\cdot (9x^3-6x) = \\\\[2ex] = (-10x^6+21x^4-21x^2+18)\\cdot (9x^3-6x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0440\u0435\u0448\u0430\u0435\u043c \u043e\u0441\u0442\u0430\u0432\u0448\u0435\u0435\u0441\u044f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4280995c52ffc8cd833b76b72584c96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} (-10x^6+21x^4-21x^2+18)\\cdot (9x^3-6x)= \\\\[2ex] = -90x^9+60x^7+189x^7-126x^5-189x^5+126x^3+162x^3-108x \\\\[2ex] =\\bm{-90x^9+249x^7-315x^5+288x^3-108x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"514\" 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 7<\/h3>\n<p> \u0423\u043c\u043d\u043e\u0436\u044c\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043d\u0430 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b (\u0441 \u0434\u0440\u043e\u0431\u044f\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-11d24f04770e3eddbb35c4330f593994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( \\frac{1}{3}x^2- 4x \\right) \\cdot  \\left( 5x- \\frac{2}{7} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"184\" style=\"vertical-align: -17px;\"><\/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\"> \u0425\u043e\u0442\u044f \u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0435\u0441\u0442\u044c \u0434\u0440\u043e\u0431\u0438, \u044d\u0442\u043e \u0432\u0441\u0435 \u0440\u0430\u0432\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0433\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0435\u0448\u0430\u0442\u044c, \u043a\u0430\u043a \u043b\u044e\u0431\u043e\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435: \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0432\u043c\u0435\u0441\u0442\u0435, \u0430 \u0437\u0430\u0442\u0435\u043c \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043e\u043d\u043e\u043c\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e144cee08d9d9a02af24c2338c5d37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{l} \\displaystyle\\left( \\frac{1}{3}x^2- 4x \\right) \\cdot \\left( 5x- \\frac{2}{7} \\right) = \\\\[4ex] = \\displaystyle\\frac{1}{3}x^2 \\cdot 5x +\\frac{1}{3}x^2\\cdot \\left(- \\frac{2}{7} \\right) -4x \\cdot 5x - 4x \\cdot \\left(- \\frac{2}{7} \\right)  = \\\\[4ex] =\\displaystyle \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -20x^2+\\frac{8}{7} x\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"395\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c (\u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c) \u0442\u0435\u0440\u043c\u0438\u043d\u044b, \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u0430\u0441\u0442\u0438 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\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-54b9cfbdee75b2c0d95499f25b6547ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -20x^2+\\frac{8}{7} x= \\\\[4ex] \\displaystyle= \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -\\frac{420}{21}x^2+\\frac{8}{7} x \\\\[4ex] \\displaystyle=\\mathbf{\\frac{5}{3}}\\bm{x^3} -\\mathbf{\\frac{422}{20}}\\bm{x^2}+\\mathbf{\\frac{8}{7}} \\bm{x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"225\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u043b\u044f \u0443\u0441\u043f\u0435\u0448\u043d\u043e\u0433\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0432\u0430\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u043e\u0441\u0432\u043e\u0438\u0442\u044c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u0434\u0440\u043e\u0431\u044f\u043c\u0438. \u041d\u043e \u0435\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u0443\u0442 \u0432\u043e\u043f\u0440\u043e\u0441\u044b \u043f\u043e \u043a\u0430\u043a\u043e\u043c\u0443-\u043b\u0438\u0431\u043e \u0448\u0430\u0433\u0443, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0437\u0430\u0434\u0430\u0442\u044c \u0438\u0445 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445 \u0438 \u043c\u044b \u043e\u0442\u0432\u0435\u0442\u0438\u043c \u043d\u0430 \u043d\u0438\u0445 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e \u0431\u044b\u0441\u0442\u0440\u043e. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0443\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b. \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 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b 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\u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043d\u0430 \u0447\u0438\u0441\u043b\u043e, \u0430 \u0437\u0430\u0442\u0435\u043c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%83%d0%bc%d0%bd%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%83%d0%bf%d1%80%d0%b0%d0%b6\/\"> <span class=\"screen-reader-text\">\u0423\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 (\u0438\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435) \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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