{"id":324,"date":"2023-07-06T08:39:49","date_gmt":"2023-07-06T08:39:49","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%80%d0%b0%d0%b2%d0%bd%d1%8b%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d1%8b\/"},"modified":"2023-07-06T08:39:49","modified_gmt":"2023-07-06T08:39:49","slug":"%d1%80%d0%b0%d0%b2%d0%bd%d1%8b%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d1%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%80%d0%b0%d0%b2%d0%bd%d1%8b%d0%b5-%d0%bc%d0%bd%d0%be%d0%b3%d0%be%d1%87%d0%bb%d0%b5%d0%bd%d1%8b\/","title":{"rendered":"\u0420\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b"},"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, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFCuando-dos-polinomios-son-iguales\"><\/span> \u041a\u043e\u0433\u0434\u0430 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<p> <strong>\u0414\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0438, \u0431\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043f\u0440\u0438 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b.<\/strong><\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a0299034a83843a3663cf19ec234bf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^4+3x^2-7\" 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-ba81ebb0cdd47d643d5b20484699c076_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 3x^2+x^4-7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b \u043c\u0435\u0436\u0434\u0443 \u0441\u043e\u0431\u043e\u0439, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u0431\u0430 \u0438\u043c\u0435\u044e\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 4 \u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0438\u0445 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442: \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043f\u0440\u0438 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u0445 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0430\u0432\u043d\u044b 1, \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043f\u0440\u0438 \u043c\u043e\u043d\u043e\u043c\u0430\u0445 \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0430\u0432\u043d\u044b 3, \u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u042d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 (\u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0439 \u0447\u043b\u0435\u043d) \u0440\u0430\u0432\u043d\u044b -7.<\/p>\n<p> \u041e\u0434\u043d\u043e \u0438\u0437 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0439 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u043e\u043d\u0438 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u0435\u0437\u043d\u044b \u0434\u043b\u044f <strong><span style=\"text-decoration: underline;\"> \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u044f \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0434\u0440\u043e\u0431\u0435\u0439 <\/span><\/strong> . \u0425\u043e\u0442\u044f \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0434\u0440\u043e\u0431\u0438 \u2014 \u0441\u043b\u043e\u0436\u043d\u0430\u044f \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430, \u043e\u043d\u0430 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043d\u0430\u043c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0449\u0435, \u0435\u0441\u043b\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0449\u0438\u0435 \u0434\u0440\u043e\u0431\u044c, \u0440\u0430\u0432\u043d\u044b. \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u0443\u043f\u0440\u043e\u0449\u0430\u044e\u0442\u0441\u044f \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0434\u0440\u043e\u0431\u0438, \u043c\u043e\u0436\u043d\u043e, \u043f\u0435\u0440\u0435\u0439\u0434\u044f \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-iguales\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0440\u0430\u0432\u043d\u044b\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, \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430, \u0447\u0442\u043e\u0431\u044b \u0437\u0430\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438:<\/p>\n<ul>\n<li> \u0420\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0438 3:<\/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-03c5dba295b352c1d711f5b7be05bd00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 2x^3-5x^2+9x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" 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-72963c14d81b24e4962d2baff09e8dc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 2x^3+9x+3-5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0420\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b 4-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-426c96c3c2fe57e8c8730dd9a9d4a3fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = -x^4+7x^3-2x-10\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" 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-aee695401a09e4b83971237d2aaf6f63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = -10-x^4+7x^3-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0420\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b 6-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-082b4003e32b0f409edc0f10464f3853_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 5x^6+4x^5-3x^2-x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-5ca6018077e6302d65ec3ad73047c63a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 5x^6+8-x+4x^5-3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Polinomios-iguales-y-semejantes\"><\/span> \u0420\u0430\u0432\u043d\u044b\u0435 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u0432\u044b \u043d\u0430\u0432\u0435\u0440\u043d\u044f\u043a\u0430 \u0443\u0441\u0432\u043e\u0438\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041e\u0434\u043d\u0430\u043a\u043e \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043e\u0442\u043c\u0435\u0442\u0438\u0442\u044c, \u0447\u0442\u043e \u0440\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043d\u0435 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043f\u0443\u0442\u0430\u0442\u044c \u0441\u043e \u0441\u0445\u043e\u0436\u0438\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438.<\/p>\n<p> <strong>\u0420\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0440\u0430\u0432\u043d\u044b\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438<\/strong> \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u0447\u043b\u0435\u043d\u044b \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438 (\u043a\u0430\u043a \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0438\u0437 \u043d\u0430\u0437\u0432\u0430\u043d\u0438\u044f), \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b &#8212; \u044d\u0442\u043e \u0442\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b, \u0447\u043b\u0435\u043d\u044b \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c, \u043d\u043e \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e. \u0442\u0435 \u0436\u0435 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0434\u043e\u0431\u043d\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435 \u043c\u043e\u043d\u043e\u043c\u044b \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u043d\u0443 \u0438 \u0442\u0443 \u0436\u0435 \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c, \u043d\u043e \u0438\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u043d\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e6a38c78f1ee443340e77b2985e2f178_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 2x^5-3x^3+4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" 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-2c74511ea7e56b6bc21e6d0906e0006d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = x^5+2x^3+7x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0441\u0435 \u0440\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0442\u0430\u043a\u0436\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u043c\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435 \u0438\u0445 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0447\u043b\u0435\u043d\u044b \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u043d\u0443 \u0438 \u0442\u0443 \u0436\u0435 \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u044b\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-los-polinomios-iguales\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0441\u0435 \u0440\u0430\u0432\u043d\u044b\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430\u043c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u0434\u0440\u0443\u0433 \u043d\u0430\u0434 \u0434\u0440\u0443\u0433\u043e\u043c:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0434\u0430\u0435\u0442 \u043d\u0443\u043b\u0435\u0432\u043e\u0439 (\u0438\u043b\u0438 \u043d\u0443\u043b\u0435\u0432\u043e\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-9df72f4b4014dbd556109a24a083c827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) - P(x) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"130\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043a\u0430\u043a\u0438\u0435-\u043b\u0438\u0431\u043e \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0441\u044b\u043b\u043a\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <strong><span style=\"text-decoration: underline;\"> \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 <\/span><\/strong> . \u0422\u0430\u043c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u043e\u0432 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 (\u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0433\u043e) \u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c.<\/p>\n<ul>\n<li> \u0421\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044e \u043e\u0434\u043d\u043e\u0433\u043e \u0438\u0437 \u044d\u0442\u0438\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043d\u0430 2.<\/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-2ad67b140c30f1d2975bb3078df7f247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) +P(x) = 2P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u0441\u043e\u0432\u0441\u0435\u043c \u043f\u043e\u043d\u044f\u043b\u0438, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f \u044d\u0442\u0438 \u0434\u0432\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438, \u044f \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044e \u0432\u0430\u043c \u044d\u0442\u0438 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u044b, \u0433\u0434\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a  <strong><span style=\"text-decoration: underline;\">\u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b<\/span><\/strong>  \u0438 \u043a\u0430\u043a <strong><span style=\"text-decoration: underline;\"> \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b <\/span><\/strong> . \u041d\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u0438\u0437 \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u0441\u0442\u0440\u0430\u043d\u0438\u0446 \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b, \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u0438 \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a\u043e\u0432\u044b \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438.<\/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, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041a\u043e\u0433\u0434\u0430 \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b? \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435: \u0414\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0432\u043d\u044b, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u0443\u044e 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