{"id":283,"date":"2023-07-06T21:57:21","date_gmt":"2023-07-06T21:57:21","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80\/"},"modified":"2023-07-06T21:57:21","modified_gmt":"2023-07-06T21:57:21","slug":"%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80\/","title":{"rendered":"\u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0443\u043c\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0438 \u0434\u0430\u0436\u0435 \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. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u043a\u0430\u043a\u043e\u0432\u044b \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u0441 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-hace-la-suma-de-polinomios\"><\/span> \u041a\u0430\u043a \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e\u0431\u044b \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u0434\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0447\u043b\u0435\u043d\u044b \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0441\u043b\u043e\u0436\u0435\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u0432, \u0438\u043c\u0435\u044e\u0449\u0438\u0445 \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 (\u0442\u0435 \u0436\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435 \u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0438).<\/strong><\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0441\u0443\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u043c\u043e\u0436\u043d\u043e \u0434\u0432\u0443\u043c\u044f \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u0430\u043c\u0438: \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u043c \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u0438\u043b\u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u043c \u043c\u0435\u0442\u043e\u0434\u043e\u043c. \u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043e\u0431\u0435\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440, \u043d\u043e \u043c\u044b \u0441\u043e\u0432\u0435\u0442\u0443\u0435\u043c \u0432\u0430\u043c \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0443\u0447\u0438\u0442\u044c\u0441\u044f \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438, \u0430 \u0437\u0430\u0442\u0435\u043c \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u0442\u044c \u043a \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u043c\u0435\u0442\u043e\u0434\u0443. \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043f\u0440\u0438\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0439\u0442\u0435\u0441\u044c \u0442\u043e\u0433\u043e, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0438\u0442\u0430\u0435\u0442\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-polinomios-vertical\"><\/span> \u0414\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u0414\u043e\u0431\u0430\u0432\u044c\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b91dccc42a00d2b708bab366394a5f09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 6x^4+4x^3+2x-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-b1e8679a7a0fc9ce7d7e4a3734424d44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 3x^4-7x^3+6x^2-4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"255\" 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 \u043f\u043e\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u043e\u0434\u0438\u043d \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d \u043f\u043e\u0434 \u0434\u0440\u0443\u0433\u043e\u0439 \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u0447\u043b\u0435\u043d\u044b \u0434\u0432\u0443\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0431\u044b\u043b\u0438 \u0432\u044b\u0440\u043e\u0432\u043d\u0435\u043d\u044b \u043f\u043e \u0441\u0442\u043e\u043b\u0431\u0446\u0430\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/somme-de-polynomes-exemples.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-442\" width=\"340\" height=\"82\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#fffde7\"> <strong>\u0412\u043d\u0438\u043c\u0430\u043d\u0438\u0435:<\/strong> \u0435\u0441\u043b\u0438 \u0432 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0435 \u043d\u0435\u0442 \u0447\u043b\u0435\u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u043c\u0435\u0441\u0442\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043f\u0443\u0441\u0442\u044b\u043c. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a02128e5beebe26f72d5c019c15c8744_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=6x^4+4x^3+2x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0423 \u0432\u0430\u0441 \u043d\u0435\u0442 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430 2 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430 \u0432\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435 \u043f\u0443\u0441\u0442\u043e\u0435 \u043c\u0435\u0441\u0442\u043e. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/ajouter-des-polynomes.jpg\" alt=\"\u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-4065\" width=\"341\" height=\"123\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0438\u043b\u0438 \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u0432 \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u043e\u0442 \u0432\u044b\u0441\u0448\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a \u043d\u0438\u0437\u0448\u0435\u0439, \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u044b \u0432 \u043a\u0430\u0436\u0434\u043e\u043c \u0441\u0442\u043e\u043b\u0431\u0446\u0435, \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u044f \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u0430\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u044b\u043c\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\/somme-de-polynomes.jpg\" alt=\"\u0441\u0443\u043c\u043c\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-451\" width=\"352\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0438\u0437 \u0441\u0443\u043c\u043c\u044b \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82730f8268524f049c09b22e288365f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(x)+Q(x) = 9x^4-3x^3+6x^2-2x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b, \u0437\u043d\u0430\u0439\u0442\u0435, \u0447\u0442\u043e \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u0434\u0440\u043e\u0431\u0438, \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0438\u0435 \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u042d\u0442\u043e\u0442 \u0442\u0438\u043f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <strong><span style=\"text-decoration: underline;\"> \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435\u043c \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0434\u0440\u043e\u0431\u0435\u0439 <\/span><\/strong> . \u041f\u0435\u0440\u0435\u0439\u0434\u0438\u0442\u0435 \u043f\u043e \u044d\u0442\u043e\u0439 \u0441\u0441\u044b\u043b\u043a\u0435 \u0438 \u0443\u0437\u043d\u0430\u0439\u0442\u0435 \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u044e\u0442\u0441\u044f \u0441\u0443\u043c\u043c\u044b \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0434\u0440\u043e\u0431\u0435\u0439, \u043d\u043e \u0438 \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u044e\u0442\u0441\u044f \u0432\u0441\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u0434\u0440\u043e\u0431\u044f\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-polinomios-horizontal\"><\/span>\u0413\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438, \u043d\u043e \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u0435\u0442\u043e\u0434 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432: \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043f\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438. \u041a\u043e\u043d\u0435\u0447\u043d\u043e, \u044d\u0442\u0430 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430 \u0431\u044b\u0441\u0442\u0440\u0435\u0435 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0439, \u043e\u0434\u043d\u0430\u043a\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043b\u0443\u0447\u0448\u0435 \u0432\u043b\u0430\u0434\u0435\u0442\u044c \u043f\u043e\u043d\u044f\u0442\u0438\u044f\u043c\u0438 \u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u0445.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0432 \u0447\u0435\u043c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u044d\u0442\u043e\u0442 \u043c\u0435\u0442\u043e\u0434 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435. \u0418 \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438, \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u0438\u043c \u0442\u0435 \u0436\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b, \u0447\u0442\u043e \u0438 \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u0443\u043c\u043c\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b91dccc42a00d2b708bab366394a5f09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 6x^4+4x^3+2x-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-b1e8679a7a0fc9ce7d7e4a3734424d44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 3x^4-7x^3+6x^2-4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"255\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0440\u0430\u0437\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0434\u0432\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u043e\u0434\u0438\u043d \u0437\u0430 \u0434\u0440\u0443\u0433\u0438\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-faire-une-somme-de-polynomes.jpg\" alt=\"\u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-461\" width=\"539\" height=\"38\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u0435\u0440\u043c\u0438\u043d\u044b, \u0438\u043c\u0435\u044e\u0449\u0438\u0435 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0435 \u0431\u0443\u043a\u0432\u0435\u043d\u043d\u044b\u0435 \u0447\u0430\u0441\u0442\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u0441 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 (\u0431\u0443\u043a\u0432\u0430\u043c\u0438) \u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f\u043c\u0438. \u041d\u0435\u043f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b \u043d\u0435 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0434\u043e\u0431\u0430\u0432\u043b\u0435\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\/somme-de-polynomes-horizontal.jpg\" alt=\"\u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u0443\u043c\u043c\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-462\" width=\"525\" height=\"272\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u043e\u043b\u0438\u043d\u043e\u043c, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f, \u0440\u0430\u0432\u0435\u043d: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/ajouter-des-polynomes-1.jpg\" alt=\"\u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b\" class=\"wp-image-460\" width=\"311\" height=\"42\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043e\u0431\u043e\u0438\u043c\u0438 \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0440\u0438 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u043e\u0442, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432\u0430\u043c \u0431\u043e\u043b\u044c\u0448\u0435 \u043f\u043e\u0434\u0445\u043e\u0434\u0438\u0442. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-suma-de-polinomios\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\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, \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \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 \u0441\u0443\u043c\u043c\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432. \u0415\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u0432\u043e\u043f\u0440\u043e\u0441\u044b, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0437\u0430\u0434\u0430\u0442\u044c \u0438\u0445 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445 \u043d\u0430 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0438 \u043c\u044b \u043e\u0442\u0432\u0435\u0442\u0438\u043c \u043d\u0430 \u043d\u0438\u0445 \u0432 \u0431\u043b\u0438\u0436\u0430\u0439\u0448\u0435\u0435 \u0432\u0440\u0435\u043c\u044f.<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0414\u043e\u0431\u0430\u0432\u044c\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\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-c66460c618b4b6ac0bb557f7571e5cef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 3x^3-5x^2+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-a6b6edd4928e50aa5f8fdf28ef103ad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 4x^3+x^2-9x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u0434\u043e\u0431\u0430\u0432\u0438\u043c \u0434\u0432\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0438\u043c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043f\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0441\u043b\u043e\u0436\u0438\u043c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0435 \u0432 \u043e\u0434\u043d\u043e\u043c \u0441\u0442\u043e\u043b\u0431\u0446\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-sommes-de-polynomes.jpg\" alt=\"\u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u0443\u043c\u043c\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-470\" width=\"244\" height=\"113\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\u0443\u043c\u043c\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0434\u0432\u0443\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-d45a0dc63962f707547e64711acbcbc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 8x^4+2x^3+9x^2-3x-7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"256\" 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-fb36b7a4150d95e12b3b7b4f7270aece_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 5x^4+6x^3-4x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" 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>\u043f\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\"> \u041c\u044b \u043f\u0440\u043e\u0441\u0443\u043c\u043c\u0438\u0440\u0443\u0435\u043c \u0434\u0432\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0439 \u043c\u0435\u0442\u043e\u0434. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0438\u0432\u0430\u0435\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u043f\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0447\u043b\u0435\u043d\u044b, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0435 \u0432 \u0442\u043e\u043c \u0436\u0435 \u0441\u0442\u043e\u043b\u0431\u0446\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/addition-de-polynomes-add.jpg\" alt=\"\u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-476\" width=\"315\" height=\"114\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u0432 \u044d\u0442\u043e\u043c \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0432 \u0441\u0442\u043e\u043b\u0431\u0446\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 2 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043f\u0443\u0441\u0442\u043e\u0435 \u043c\u0435\u0441\u0442\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430.<\/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> \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0434\u0432\u0443\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-4c9b88d8da1ef9698949ce338e5db355_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = -3x^5+4x^4-2x^3-6x^2+2x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" 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-dc1d03704e9cedd2daa6594d6636970c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 6x^5-7x^4+8x^3-3x^2-6x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"304\" 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>\u043f\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\"> \u041c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u043c \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u043c \u043c\u0435\u0442\u043e\u0434\u043e\u043c. \u0422\u0410\u041a: <\/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\/exercice-resolu-etape-par-etape-de-sommes-de-polynomes.jpg\" alt=\"\u043f\u043e\u044d\u0442\u0430\u043f\u043d\u043e \u0440\u0435\u0448\u0430\u0442\u044c \u0441\u0443\u043c\u043c\u044b \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432\" class=\"wp-image-478\" width=\"389\" height=\"113\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u0443\u043c\u043c\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \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-710d013a260a4cda93f02609c782fe2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =6x^4-3x^3+8x^2+4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"255\" 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-3ee9369da6e4374ca5da7dd346c2b9b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) =-9x^4+5x^3+6x^2-2x+7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"270\" 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-30a82581e496ee677f90a7adb7a2bd6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(x) =-4x^4+6x^3-9x^2+6x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"270\" 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>\u043f\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\"> \u041c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0441\u0443\u043c\u043c\u0443 \u0442\u0440\u0435\u0445 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0439 \u043c\u0435\u0442\u043e\u0434. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0438\u0432\u0430\u0435\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u044b \u043f\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c \u0447\u043b\u0435\u043d\u044b, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0435 \u0432 \u0442\u043e\u043c \u0436\u0435 \u0441\u0442\u043e\u043b\u0431\u0446\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/somme-de-3-polynomes.jpg\" alt=\"\u0441\u0443\u043c\u043c\u0430 \u0442\u0440\u0435\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432\" class=\"wp-image-483\" width=\"341\" height=\"151\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \ud83d\udc49\ud83d\udc49\ud83d\udc49\u0422\u0435\u043f\u0435\u0440\u044c, \u043a\u043e\u0433\u0434\u0430 \u0432\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0434\u0432\u0430 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430, \u0432\u0430\u0441 \u043c\u043e\u0436\u0435\u0442 \u0437\u0430\u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043e\u0432\u0430\u0442\u044c \u0435\u0449\u0435 \u043e\u0434\u043d\u0430 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u043d\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432: \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c. \u0418\u0437\u0432\u043b\u0435\u0447\u044c \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u0441\u043b\u043e\u0436\u043d\u043e (\u0438 \u0442\u0440\u0443\u0434\u043d\u043e \u0434\u043b\u044f \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u044f), \u0432\u0435\u0434\u044c \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u0434\u043e\u043f\u0443\u0441\u043a\u0430\u044e\u0442\u0441\u044f \u043c\u043d\u043e\u0433\u0438\u0435 \u043e\u0448\u0438\u0431\u043a\u0438. \u0418\u043c\u0435\u043d\u043d\u043e \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u043e, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u043a\u0430\u043a <strong><span style=\"text-decoration: underline;\"> \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043e\u0431\u0449\u0438\u0439 \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c <\/span><\/strong> , \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043f\u0440\u0435\u043a\u0440\u0430\u0441\u043d\u043e \u044d\u0442\u043e \u043f\u043e\u043d\u044f\u043b\u0438 \u0438 \u043d\u0435 \u0434\u043e\u043f\u0443\u0441\u0442\u0438\u043b\u0438 \u043e\u0448\u0438\u0431\u043e\u043a \u043f\u0440\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0438 \u044d\u0442\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438. \u041a\u0430\u043a\u0438\u0435 \u0435\u0441\u0442\u044c <span style=\"text-decoration: underline;\">\u0441\u043e\u0432\u0435\u0442\u044b \u043f\u043e \u0438\u0437\u0432\u043b\u0435\u0447\u0435\u043d\u0438\u044e \u043e\u0431\u0449\u0435\u0433\u043e \u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0438\u0437 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430,<\/span> \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \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=\"Propiedades-de-la-suma-de-polinomios\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u0443\u043c\u043c\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\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>\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 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0438 3 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043a\u0430\u043a \u043e\u043d\u0438 \u0441\u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u0430\u043d\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432\u0441\u0435\u0433\u0434\u0430 \u043e\u0434\u0438\u043d \u0438 \u0442\u043e\u0442 \u0436\u0435. \u0422\u043e \u0435\u0441\u0442\u044c \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/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-d7783308b5217209a869a9990fe254a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(P(x)+Q(x)\\bigr)+R(x) = P(x)+\\bigl(Q(x)+R(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"365\" style=\"vertical-align: -7px;\"><\/p>\n<\/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\u0440\u0438 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0438 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0435 \u043c\u0435\u043d\u044f\u0435\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\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-c48e1b8f3762f6b2105c3623fad05789_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)+Q(x)= Q(x)+P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041d\u0435\u0439\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442<\/strong> : \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u043f\u043b\u044e\u0441 \u043b\u044e\u0431\u043e\u0439 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c \u0441 \u0447\u0438\u0441\u043b\u043e\u0432\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e, \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u043f\u0435\u0440\u0432\u043e\u043c\u0443 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0443.<\/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-a2d5581ec2ffccb80bbddec261d421ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)+0=P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442<\/strong> : \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0438 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0433\u043e \u0435\u043c\u0443 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e.<\/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-d82cd6d40b9041819faec5592980a8a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)+\\bigl(-P(x)\\bigr)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"160\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e \u0432\u044b \u0434\u0443\u043c\u0430\u0435\u0442\u0435 \u043e\u0431 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0438? \u0412\u0430\u043c \u044d\u0442\u043e \u043f\u043e\u043c\u043e\u0433\u043b\u043e? \u041a\u0430\u043a\u043e\u0439 \u043c\u0435\u0442\u043e\u0434 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0432\u044b \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0438\u0442\u0430\u0435\u0442\u0435: \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u043b\u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u0439? \u0427\u0438\u0442\u0430\u0435\u043c \u0432\u0430\u0441 \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445! \ud83d\udc40<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0443\u043c\u043c \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 \u0438 \u0434\u0430\u0436\u0435 \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. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u043a\u0430\u043a\u043e\u0432\u044b \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u0441 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430\u043c\u0438. \u041a\u0430\u043a \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e\u0431\u044b \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u0434\u0432\u0430 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432, \u0447\u043b\u0435\u043d\u044b \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0441\u043b\u043e\u0436\u0435\u043d\u044b \u0432\u043c\u0435\u0441\u0442\u0435. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%81%d1%83%d0%bc%d0%bc%d0%b0-%d0%bf%d0%be%d0%bb%d0%b8%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80\/\"> <span class=\"screen-reader-text\">\u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u043e\u0432<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[16],"tags":[],"class_list":["post-283","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized 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