{"id":327,"date":"2023-07-06T08:26:38","date_gmt":"2023-07-06T08:26:38","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84\/"},"modified":"2023-07-06T08:26:38","modified_gmt":"2023-07-06T08:26:38","slug":"%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84\/","title":{"rendered":"\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0646\u0634\u0631\u062d \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u0639\u0631\u0636 \u0627\u0644\u063a\u0631\u0636 \u0645\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644: \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u062c\u0630\u0648\u0631\u060c \u0648\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-teorema-del-factor\"><\/span> \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u061f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u062a\u0642\u0648\u0644 <strong>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644<\/strong> \u0623\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0623\u062e\u0631\u0649 \u0645\u0646 \u0627\u0644\u0634\u0643\u0644 (xa) \u0625\u0630\u0627 \u0648\u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a P(a)=0. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-des-facteurs.jpg\" alt=\"\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\" class=\"wp-image-2179\" width=\"247\" height=\"247\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0646\u062a\u064a\u062c\u0629 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u060c \u064a\u062a\u0631\u062a\u0628 \u0639\u0644\u0649 \u0630\u0644\u0643 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0635\u0637\u0644\u062d (x\u2212a)\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 a \u0647\u064a \u062c\u0630\u0631 (\u0623\u0648 \u0635\u0641\u0631) \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P( x ) .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0646 \u062a\u0643\u0648\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0623\u062e\u0631\u0649\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0628\u0627\u0642\u064a (\u0623\u0648 \u0628\u0627\u0642\u064a) \u0627\u0644\u0642\u0633\u0645\u0629 \u0628\u064a\u0646 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627. \u0641\u064a \u062d\u0627\u0644 \u0643\u0646\u062a \u0644\u0627 \u062a\u062a\u0630\u0643\u0631 \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0627\u0644\u0643\u0627\u0645\u0644\u060c \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0643 \u0645\u0634\u0627\u0647\u062f\u0629 <a href=\"https:\/\/mathority.org\/ar\/\u062a\u0642\u0633\u064a\u0645-\u0643\u062b\u064a\u0631\u0627\u062a-\u0627\u0644\u062d\u062f\u0648\u062f-\u0627\u0654\u0645\u062b\u0644\u0629-\u062d\u0644-\u062a\u0645\u0627\u0631\u064a\u0646-\u0627\u0644\u0642\u0633\u0645\u0629\/\"><strong><span style=\"text-decoration: underline;\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u062a\u0642\u0633\u064a\u0645 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f<\/span><\/strong><\/a> \u060c \u0648\u0647\u0646\u0627\u0643 \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0634\u0631\u062d\u064b\u0627 \u0644\u0643\u064a\u0641\u064a\u0629 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplos-del-teorema-del-factor\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0644\u0642\u064a \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0644\u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0637\u0628\u064a\u0642\u0647\u0627.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062d\u062f \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0647\u0648 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0645\u0639\u064a\u0646\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0630\u0627\u062a-\u0627\u0644\u062d\u062f\u064a\u0646\/\">\u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646<\/a><\/span><\/strong> . \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 Q(x)\u060c \u0648\u0643\u0644\u0627\u0647\u0645\u0627:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67a5b0b8df744da98b4d71433f73c9e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2-4x+3 \\qquad \\qquad Q(x)=x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"323\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u064a\u0647\u0627\u060c Q(x)\u060c \u0647\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u0646\u0648\u0639 (xa)\u060c \u0644\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u0643\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u0642\u0633\u0645\u0629 P(x) \u0639\u0644\u0649 Q(x)\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0644\u0640 x=1\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 1 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0642\u0633\u0648\u0645\u0629 \u0645\u0639 \u062a\u063a\u064a\u064a\u0631 \u0625\u0634\u0627\u0631\u062a\u0647\u0627 :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00216efc4a2e53b0b38de1175e73a5bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(1) &amp; =1^2-4\\cdot 1+3 \\\\[2ex] &amp; = 1-4+3 \\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0639\u0646\u062f x = 1 \u062a\u0639\u0637\u064a \u0635\u0641\u0631\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u0648\u0641\u0642\u064b\u0627 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 Q(x)\u060c \u0623\u0648 \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0641\u0625\u0646 \u0628\u0627\u0642\u064a \u0627\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0643\u0644\u064a\u0647\u0645\u0627 \u0633\u064a\u0643\u0648\u0646 \u0641\u0627\u0631\u063a\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0634\u0631\u0637 \u0627\u0644\u0642\u0633\u0645\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0644\u0649 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0642\u0648\u0627\u0639\u062f-\u062d\u0644\u0647\u0627-\u0627\u0654\u0645\u062b\u0644\u0629-\u062a\u0645\u0627\u0631\u064a\u0646-\u0631\u0648\u0641\u064a\u0646\u064a\/\">\u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0641\u064a\u0646\u064a<\/a><\/span><\/strong> : <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-factoriel-exercices-resolus-pdf.jpg\" alt=\"\u062a\u0645\u0627\u0631\u064a\u0646 \u062d\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 pdf \u0627\u0648\u0646 \u0644\u0627\u064a\u0646\" class=\"wp-image-2189\" width=\"172\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0647\u064a \u062d\u0627\u0644\u0629 \u062e\u0627\u0635\u0629 \u0645\u0646 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0627\u0642\u064a (\u0623\u0648 \u0627\u0644\u0628\u0627\u0642\u064a). \u0623\u062a\u0631\u0643 \u0644\u0643 \u0647\u0630\u0627 \u0627\u0644\u0645\u0642\u0627\u0644 \u0627\u0644\u0630\u064a \u064a\u0634\u0631\u062d \u0645\u0627 \u0647\u064a <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0627\u0654\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u0646\u0638\u0631\u064a\u0629-\u0627\u0644\u0628\u0627\u0642\u064a-\u0648\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0627\u0642\u064a<\/a><\/span><\/strong> \u060c \u0648\u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u0628\u0647\u0627. \u0648\u0627\u0644\u0623\u0643\u062b\u0631 \u0645\u0646 \u0630\u0644\u0643\u060c \u0623\u0646\u0643 \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0631\u0624\u064a\u0629 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0627\u0642\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0630\u0648\u0631 (\u0623\u0648 \u0623\u0635\u0641\u0627\u0631) \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0644\u0643\u0646\u060c \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d\u060c \u0644\u0641\u0647\u0645 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0633\u0627\u0626\u0644\u060c \u0639\u0644\u064a\u0643 \u0623\u0646 \u062a\u0639\u0631\u0641 <a href=\"https:\/\/mathority.org\/ar\/\u062c\u0630\u0648\u0631-\u0643\u062b\u064a\u0631\u0629-\u0627\u0644\u062d\u062f\u0648\u062f\/\"><strong><span style=\"text-decoration: underline;\">\u0645\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/span><\/strong><\/a> . \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0632\u0627\u0644 \u0644\u0627 \u062a\u0641\u0647\u0645 \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645\u060c \u0641\u064a\u0645\u0643\u0646\u0643 \u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0645 \u0634\u0631\u062d\u0647\u0627 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u062b\u0627\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0637\u0628\u064a\u0642 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x)\u060c \u0627\u062d\u0633\u0628 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u062d\u062f \u062c\u0630\u0648\u0631\u0647\u0627 x=2:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3d4052b7ff040dd41473d225569289b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-3x^2+5x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062a\u0637\u0628\u064a\u0642 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0637\u0644\u062d x=2 \u0633\u064a\u0643\u0648\u0646 \u062c\u0630\u0631\u064b\u0627 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0640 P(x) \u0644\u0640 x=2 \u0647\u064a \u0635\u0641\u0631. \u0644\u0630\u0627 \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82d50f0361613cb6c540051f8da4bc20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(2) &amp; =2^3-3\\cdot 2^2+5\\cdot 2-6 \\\\[2ex] &amp; = 8-3\\cdot 4 +5\\cdot 2 -6\\\\[2ex] &amp; = 8-12+10-6 \\\\[2ex] &amp; = 0\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u062a\u062e\u062a\u0641\u064a \u0639\u0646\u062f x=2\u060c \u0644\u0630\u0627 \u0628\u0641\u0636\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0623\u0643\u064a\u062f \u0639\u0644\u0649 \u0623\u0646 x=2 \u0647\u0648 \u062c\u0630\u0631 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x). <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-polinomios-utilizando-el-teorema-del-factor\"><\/span> \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0637\u0628\u064a\u0642 \u0622\u062e\u0631 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0647\u0648 <strong>\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> . \u0641\u064a \u062d\u0627\u0644 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u0648\u060c \u0641\u0625\u0646 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u0639\u0646\u064a \u062a\u062d\u0648\u064a\u0644 \u062a\u0639\u0628\u064a\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0639\u0648\u0627\u0645\u0644\u060c \u0623\u064a \u0623\u0646 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u0628\u0633\u0637 \u062a\u0639\u0628\u064a\u0631\u0647\u0627 \u0627\u0644\u062c\u0628\u0631\u064a.<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee;text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u062a\u0646\u0635 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0629 \u0639\u0644\u0649 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u062a\u062d\u0642\u0642 P(a)=0 \u0644\u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 a\u060c \u0641\u064a\u0645\u0643\u0646 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0646\u062a\u062c P(x)=(xa)\u00b7Q( x)\u060c \u062d\u064a\u062b Q(x) \u0647\u0648 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0639\u0644\u0649 (xa). <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-theoreme-preuve.jpg\" alt=\"\u0625\u062b\u0628\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\" class=\"wp-image-2199\" width=\"470\" height=\"157\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0636\u0631\u0648\u0628:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e7291b669031afd3421168b7662c71c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+2x^2+4x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0639\u0631\u0641 \u0623\u0646 x=-2 \u0647\u0648 \u0623\u062d\u062f \u062c\u0630\u0648\u0631\u0647\u0627\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f x=-2 \u062a\u0633\u0627\u0648\u064a \u0635\u0641\u0631:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d94a4657a385e672badeabd7458b376_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp; =(-2)^3+2\\cdot (-2)^2+4\\cdot (-2)+8 \\\\[2ex] &amp; =-8+2\\cdot 4+4\\cdot (-2)+8 \\\\[2ex] &amp; = -8+8-8+8 \\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646\u0646\u0627 \u0646\u0642\u0633\u0645 \u0645\u0639 \u0642\u0627\u0639\u062f\u0629 \u0631\u0648\u0641\u064a\u0646\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0628\u064a\u0646 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062a\u064a \u0634\u0643\u0644\u062a\u0647\u0627 x \u0648\u0639\u0644\u0627\u0645\u0629 \u062a\u063a\u064a\u0631 \u0627\u0644\u062c\u0630\u0631\u060c \u0623\u064a \u0627\u0644\u0639\u0627\u0645\u0644 (x+2): <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-du-facteur-zero.jpg\" alt=\"\u062a\u0646\u0635 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0635\u0641\u0631\u064a \u0639\u0644\u0649 \u0630\u0644\u0643\" class=\"wp-image-2201\" width=\"205\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8787f77c00f3813ff7e93f147ae7a8d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{x+2} =x^2+4\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"113\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0641\u064a \u0634\u0643\u0644 \u0636\u0631\u0628 \u0627\u0644\u0639\u0627\u0645\u0644 (x+2) \u0641\u064a \u062d\u0627\u0635\u0644 \u0627\u0644\u0642\u0633\u0645\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a63580effbfd7304133453960e84843_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x+2) \\cdot (x^2+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0642\u0645\u0646\u0627 \u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0628\u062a\u062d\u0644\u064a\u0644 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f P(x)\u060c \u0648\u0644\u0643\u0646 \u062c\u0632\u0626\u064a\u064b\u0627 \u0641\u0642\u0637. \u0645\u0646 \u0623\u062c\u0644 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644\u060c \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0623\u0637\u0648\u0644. \u0644\u0642\u062f \u0642\u0645\u0646\u0627 \u0628\u0625\u0639\u062f\u0627\u062f \u062f\u0644\u064a\u0644 \u062d\u064a\u062b \u0646\u0639\u0644\u0645 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 <a href=\"https:\/\/mathority.org\/ar\"><strong><span style=\"text-decoration: underline;\">\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u062d\u062f\u0648\u062f \u0631\u0648\u0641\u064a\u0646\u064a \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644<\/span><\/strong><\/a> \u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0628\u0634\u0631\u062d \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u0627\u062a \u0648\u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627. \u0644\u0630\u0627 \u0627\u0646\u0642\u0631 \u0641\u0648\u0642 \u0627\u0644\u0631\u0627\u0628\u0637 \u0644\u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-teorema-del-factor\"><\/span> \u0645\u0633\u0627\u0626\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627 \u0628\u0625\u0639\u062f\u0627\u062f \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0646\u062a \u0642\u062f \u0641\u0647\u0645\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629. \u0646\u0648\u0635\u064a \u0628\u0645\u062d\u0627\u0648\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0646\u0641\u0633\u0643 \u062b\u0645 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0646\u062a \u062a\u0641\u0647\u0645 \u0627\u0644\u062d\u0644 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d. \u0648\u0644\u0627 \u062a\u0646\u0633\u0648\u0627 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646\u0643\u0645 \u062a\u0631\u0643 \u0623\u0633\u0626\u0644\u062a\u0643\u0645 \u0623\u062f\u0646\u0627\u0647 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a! \u2753\u2753\ud83d\udcac\ud83d\udcac<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0629 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 Q(x)\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0623\u0645\u0631 \u0643\u0630\u0644\u0643\u060c \u0627\u0628\u062d\u062b \u0639\u0646 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0642\u0645 \u0628\u062a\u062d\u0644\u064a\u0644\u0647\u0627. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d91041d9502129f8feb71f75ec493bab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=2x^3-4x^2+x-7 \\qquad \\qquad Q(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"372\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u064a\u0647 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f Q(x) \u0647\u0648 \u0630\u0648 \u062d\u062f\u064a\u0646 \u064a\u062a\u0643\u0648\u0646 \u0641\u0642\u0637 \u0645\u0646 x \u0648\u0645\u0635\u0637\u0644\u062d \u0645\u0633\u062a\u0642\u0644. \u0644\u0630\u0627 \u0644\u0625\u0638\u0647\u0627\u0631 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0639\u0644\u0649 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0622\u062e\u0631 Q(x) \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0642\u064a\u064a\u0645 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0641\u064a \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0644\u0639\u0644\u0627\u0645\u0629 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u064a\u0647\u0627\u060c \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0639\u0646\u062f x=3:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e8ac752f8e16fae1d66386e9d2a02a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(3) &amp; =2\\cdot 3^3-4\\cdot 3^2+3-7\\\\[2ex] &amp; = 2\\cdot 27-4\\cdot 9+3-7 \\\\[2ex] &amp; = 54-36+3-7\\\\[2ex] &amp; = 14 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0639\u0646\u062f x=3 \u062a\u0639\u0627\u062f\u0644 14\u060c \u0623\u064a \u0623\u0646\u0647\u0627 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0627\u0644\u0635\u0641\u0631. \u0644\u0630\u0644\u0643\u060c \u0648\u0641\u0642\u064b\u0627 \u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u060c P(x) \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 Q(x) \u0644\u0623\u0646 \u0628\u0627\u0642\u064a \u0627\u0644\u0642\u0633\u0645\u0629 \u0644\u064a\u0633 \u0635\u0641\u0631\u064b\u0627.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0643\u062a\u0634\u0641 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 Q(x)\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0623\u0645\u0631 \u0643\u0630\u0644\u0643\u060c \u0641\u0627\u0628\u062d\u062b \u0639\u0646 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0648\u0642\u0645 \u0628\u062a\u062d\u0644\u064a\u0644\u0647\u0627. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c66c882f468d9bf67c8ae19b9629a24c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+5x^2+3x-1 \\qquad \\qquad Q(x)=x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"371\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u064a\u0647 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f Q(x) \u0647\u0648 \u0630\u0648 \u062d\u062f\u064a\u0646 \u064a\u062a\u0643\u0648\u0646 \u0641\u0642\u0637 \u0645\u0646 x \u0648\u0645\u0635\u0637\u0644\u062d \u0645\u0633\u062a\u0642\u0644\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0636\u0631\u0648\u0628.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u064a\u0645\u0643\u0646 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0639\u0644\u0649 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f Q(x)\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u062c\u062f \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0644\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0644\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0629 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f Q(x)\u060c \u0641\u0647\u064a \u0623\u064a \u0639\u0646\u062f x=-1:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34b63772a1b44bee2c746d94b6ca4785_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-1) &amp; =(-1)^3+5\\cdot (-1)^2+3\\cdot (-1)-1\\\\[2ex] &amp; = -1+5\\cdot 1+3\\cdot (-1)-1\\\\[2ex] &amp; = -1+5-3-1\\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"315\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f x=-1 \u0647\u064a \u0635\u0641\u0631\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 Q(x).<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0636\u0631\u0648\u0628 \u0623\u0646 x=-1 \u0647\u0648 \u062c\u0630\u0631 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f P(x)\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0640 P(x) \u0639\u0646\u062f x=-1 \u062a\u062e\u062a\u0641\u064a.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0628\u0645\u0627 \u0623\u0646 x=-1 \u0647\u0648 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x)\u060c \u0644\u062a\u062d\u0644\u064a\u0644\u0647\u0627\u060c \u0642\u0645 \u0628\u0628\u0633\u0627\u0637\u0629 \u0628\u062a\u0642\u0633\u064a\u0645\u0647\u0627 \u0639\u0644\u0649 x+1. \u0648\u0644\u0647\u0630\u0627 \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0637\u0631\u064a\u0642\u0629 \u0631\u0648\u0641\u064a\u0646\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-et-reste-theoreme-2.jpg\" alt=\"\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0648\u0627\u0644\u0628\u0627\u0642\u064a\" class=\"wp-image-2223\" width=\"212\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d359811cb1941ccb7181216d4eb2667_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+4x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"88\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4793f7847d400b7df22361f6b856a0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x+1) \\cdot (x^2+4x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0643\u062a\u0634\u0641 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 Q(x)\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0623\u0645\u0631 \u0643\u0630\u0644\u0643\u060c \u0641\u0627\u0628\u062d\u062b \u0623\u064a\u0636\u064b\u0627 \u0639\u0646 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0648\u0642\u0645 \u0628\u062a\u062d\u0644\u064a\u0644\u0647\u0627. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3aead584139f397504eb04454974899_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+5x^2+4x-6 \\qquad \\qquad Q(x)=x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"372\" 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;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u064a \u062a\u0642\u0633\u0645 Q(x) \u0647\u064a \u0630\u0627\u062a \u062d\u062f\u064a\u0646 \u0645\u0643\u0648\u0646\u0629 \u0641\u0642\u0637 \u0645\u0646 x \u0648\u0645\u0635\u0637\u0644\u062d \u0645\u0633\u062a\u0642\u0644\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0627\u064b \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f Q(x)\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0644\u0644\u0645\u0635\u0637\u0644\u062d \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0644\u0644\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0629 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f Q(x)\u060c \u0623\u064a- \u0623\u064a \u0639\u0646\u062f x =-3:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef8bb895fe041193d71351ffadb94f2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-3) &amp; =(-3)^3+5\\cdot (-3)^2+4\\cdot (-3)-6\\\\[2ex] &amp; = -27+5\\cdot 9+4\\cdot (-3)-6\\\\[2ex] &amp; = -27+45-12-6\\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f x=-3 \u0647\u064a \u0635\u0641\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 P(x) \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 Q(x).<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628\u060c \u0646\u0633\u062a\u0646\u062a\u062c \u0645\u0646 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0629 \u0623\u0646 x=-3 \u0647\u0648 \u062c\u0630\u0631 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f P(x)\u060c \u062d\u064a\u062b \u0623\u0646 P(-3) \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0628\u0645\u0627 \u0623\u0646 x=-3 \u0647\u0648 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x)\u060c \u0641\u0644\u062a\u062d\u0644\u064a\u0644\u0647\u0627 \u064a\u062c\u0628 \u0623\u0646 \u0646\u0642\u0633\u0645\u0647\u0627 \u0639\u0644\u0649 x+3. \u0648\u0644\u0647\u0630\u0627 \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0642\u0627\u0639\u062f\u0629 \u0631\u0648\u0641\u064a\u0646\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-theoreme-factorisation-par-ruffini.jpg\" alt=\"\u0639\u0627\u0645\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644 \u0628\u0648\u0627\u0633\u0637\u0629 \u0631\u0648\u0641\u064a\u0646\u064a\" class=\"wp-image-2226\" width=\"216\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0642\u0633\u0645\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-990e12f6ae2d0b9effdb52dfaea8edbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"88\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0628\u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4929cce053644c03cdafec2fbfd77008_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x+3) \\cdot (x^2+2x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0631\u0623\u064a\u0643 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u061f \u0647\u0644 \u062a\u0639\u062a\u0642\u062f \u0623\u0646\u0647 \u0645\u0641\u064a\u062f \u0641\u064a \u0627\u0644\u062c\u0628\u0631\u061f \u0646\u0642\u0631\u0623 \u0644\u0643 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a!<br \/> \ud83d\udc40\u2b07\u2b07\u2b07\ud83d\udc40<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0646\u0634\u0631\u062d \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u0639\u0631\u0636 \u0627\u0644\u063a\u0631\u0636 \u0645\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644: \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u062c\u0630\u0648\u0631\u060c \u0648\u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u062a\u0642\u0648\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0623\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f P(x) \u0642\u0627\u0628\u0644\u0629 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%b9%d8%a7%d9%85%d9%84\/\"> <span class=\"screen-reader-text\">\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0639\u0627\u0645\u0644<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &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-327","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized 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