{"id":58,"date":"2023-09-17T07:25:59","date_gmt":"2023-09-17T07:25:59","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%ac%d8%b0%d9%88%d8%b1-%d9%83%d8%ab%d9%8a%d8%b1%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af\/"},"modified":"2023-09-17T07:25:59","modified_gmt":"2023-09-17T07:25:59","slug":"%d8%ac%d8%b0%d9%88%d8%b1-%d9%83%d8%ab%d9%8a%d8%b1%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%ac%d8%b0%d9%88%d8%b1-%d9%83%d8%ab%d9%8a%d8%b1%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af\/","title":{"rendered":"\u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-las-raices-de-un-polinomio\"><\/span> \u0645\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u062c\u0630\u0648\u0631 (\u0623\u0648 \u0623\u0635\u0641\u0627\u0631) \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f. \u0623\u064a \u0623\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0643\u0644 \u062a\u0644\u0643 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a\u060c \u0639\u0646\u062f \u062a\u0642\u064a\u064a\u0645\u0647\u0627 \u0641\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0644\u0647\u0627 \u0642\u064a\u0645\u0629 \u0639\u062f\u062f\u064a\u0629 \u062a\u0633\u0627\u0648\u064a 0.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0624\u062e\u0631\u0627\u064b\u060c<\/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-2b24e8b3f28f048c85d6ea0f32d59fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0646\u0639\u0645 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05f8ce1400e1aeecb7fc4e9548e2c5e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(a)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/racines-ou-zeros-dun-polynome.png\" alt=\"\u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\" class=\"wp-image-916\" width=\"170\" height=\"172\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/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 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f \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-9f4ac06469282d1968cf43d2d7dc35ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2-3x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0623\u062d\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 1\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 \u0639\u0646\u062f <em>x=1<\/em> \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-30a608c13e6fb189405ac92258df7e3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1)=1^2-3\\cdot 1+2 = 1-3+2 \\color{blue} \\bm{= 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"312\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c 3 \u0644\u064a\u0633 \u062c\u0630\u0631\u064b\u0627 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0623\u0646\u0647\u0627 \u0644\u064a\u0633\u062a \u0642\u064a\u0645\u0629 \u062a\u0644\u063a\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0623\u0648 \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\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 <em>x=3<\/em> \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0627\u0644\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-b093c5f3d6e2bac6c79c9c0a73182f39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3)=3^2-3\\cdot 3+2 = 9-9+2=2  \\color{blue} \\bm{\\neq  0}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0645\u062d\u062a\u0645\u0644 \u0623\u0646\u0643 \u062a\u0641\u0647\u0645 \u0627\u0644\u0622\u0646 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644 \u0645\u0627 \u0647\u0648 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0644\u0643\u0646 \u0623\u0644\u0627 \u062a\u0631\u063a\u0628 \u0641\u064a \u0645\u0639\u0631\u0641\u0629 \u0639\u062f\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u061f \u0623\u0648 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u061f \u062d\u0633\u0646\u064b\u0627\u060c \u0647\u0630\u0627 \u0628\u0627\u0644\u0636\u0628\u0637 \u0645\u0627 \u0633\u0646\u0631\u0627\u0647 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u062a\u0627\u0644\u064a. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-calcular-todas-las-raices-de-un-polinomio\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u062a\u0628\u0627\u0639 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol style=\"color:#ff5733; font-weight: bold;>\n<li><span style=;text-align:right;direction:rtl\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px;text-align:right;direction:rtl\"><span style=\"color:#000000;font-weight: normal;\">\u0623\u0648\u0644\u0627\u064b\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u0645\u0642\u0633\u0648\u0645\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/span><\/li>\n<li style=\"margin-bottom:18px;text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u062b\u0627\u0646\u064a\u0627\u060c \u064a\u062a\u0645 \u062a\u0642\u064a\u064a\u0645 \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0641\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u062a\u0647 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u062a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627 \u0639\u0646\u062f \u062a\u0642\u064a\u064a\u0645 \u0631\u0642\u0645 \u0641\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0641\u0625\u0646 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u0630\u0643\u0648\u0631 \u0647\u0648 \u062c\u0630\u0631 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0648\u0628\u062e\u0644\u0627\u0641 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u0630\u0643\u0648\u0631 \u0644\u0627 \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0647\u0630\u0627 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0645\u0646 <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 \u0627\u0646\u0642\u0631 \u0641\u0648\u0642 \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u0644\u0645\u0639\u0631\u0641\u0629 \u0633\u0628\u0628 \u0647\u0630\u0627 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0628\u0627\u0644\u0630\u0627\u062a. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejemplo-de-como-se-calculan-las-raices-de-un-polinomio\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u062d\u0644 \u0623\u062f\u0646\u0627\u0647 \u0645\u062b\u0627\u0644\u064b\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0647\u064a \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629\u061f<\/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-18b4f499034ee1404f872bd26694996e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^2-5x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u060c \u0644\u0623\u0646 \u0643\u0644 \u062c\u0630\u0631 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 \u0623\u064a\u0636\u064b\u0627 \u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644. \u0625\u0630\u0646 \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 6 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 6: +1\u060c -1\u060c +2\u060c -2\u060c +3\u060c -3<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0631\u0642\u0645 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u064a\u0647\u060c \u0641\u0625\u0646 \u0633\u0627\u0644\u0628\u0647 \u0647\u0648 \u0623\u064a\u0636\u064b\u0627 \u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u064a\u0647. \u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0639\u062f\u062f \u064a\u0642\u0628\u0644 \u0627\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u0623\u0639\u062f\u0627\u062f \u0645\u0648\u062c\u0628\u0629 \u0648\u0633\u0627\u0644\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0623\u0648 \u0627\u0644\u0623\u0635\u0641\u0627\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a: \u00b11\u060c \u00b12\u060c \u00b13. \u0648\u0644\u0630\u0644\u0643\u060c \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\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u062c\u0645\u064a\u0639 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0642\u0648\u0645 \u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u062a\u0639\u0628\u064a\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062d\u064a\u062b \u064a\u0648\u062c\u062f x: <\/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-16fa59fcdbbaa92788e0292f40f15365_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1) = 1^2 -5\\cdot 1 +6= 1 -5 +6 =2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"285\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-3e0acf6e160800e125f3efb9799e1cf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1) = (-1)^2 -5\\cdot (-1) +6 =1+5+6 = 12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"363\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-aad7d84847b59d9fa4d3ad780e20a5d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2) = 2^2 -5\\cdot 2 +6 =4-10+6= \\color{blue} \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-da1cb9edee6182d6abc4df0155acb975_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2) = (-2)^2 -5\\cdot (-2) +6 =4+10+6 =20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"372\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-4122327630c5bd1d2835ff1ab612ab00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3) = 3^2 -5\\cdot 3 +6 =9-15+6=\\color{blue} \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-6fc3fe1dc37a53aa473b0ca773a5f500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-3) = (-3)^2 -5\\cdot (-3) +6 =9+15+6 =30\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"372\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062a\u062e\u062a\u0641\u064a \u0641\u0642\u0637 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 <em>x<\/em> \u0647\u0648 +2 \u0623\u0648 +3\u060c \u0644\u0630\u0627 \u0641\u0625\u0644\u064a\u0643 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> : +2 \u0648 +3<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u0627\u062d\u0638 \u0623\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0647\u0627 \u0639\u062f\u062f \u0645\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0645\u062b\u0644 \u062f\u0631\u062c\u062a\u0647\u0627\u060c \u0623\u064a \u0623\u0646\u0647 \u0628\u0645\u0627 \u0623\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u0641\u0647\u064a \u0644\u0647\u0627 \u062c\u0630\u0631\u064a\u0646. \u0641\u064a \u062e\u0635\u0627\u0626\u0635 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f (\u0623\u062f\u0646\u0627\u0647)\u060c \u0633\u0646\u0631\u0649 \u0644\u0645\u0627\u0630\u0627 \u062a\u0646\u0637\u0628\u0642 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0623\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0637\u0631\u064a\u0642\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0644\u0627 \u062a\u0632\u0627\u0644 \u0647\u0646\u0627\u0643 \u0637\u0631\u0642 \u0623\u062e\u0631\u0649 \u0644\u062a\u062d\u0642\u064a\u0642 \u0630\u0644\u0643\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0631\u0648\u0641\u064a\u0646\u064a. \u0627\u0646\u0642\u0631 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0631\u0624\u064a\u0629 <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\/\">\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0642\u0627\u0639\u062f\u0629 \u0631\u0648\u0641\u064a\u0646\u064a<\/a><\/span><\/strong> \u060c \u0648\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0645\u0627 \u062a\u062a\u0643\u0648\u0646 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629\u060c \u0648\u0623\u064a\u0636\u0627 \u0645\u0627 \u0647\u064a \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0625\u062c\u0631\u0627\u0621\u064a\u0646. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Propiedades-de-las-raices-de-un-polinomio\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0647\u0627 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol start=\"1\" style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#0c0c0c;font-weight: normal;\">\u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0633\u0627\u0628\u0642\u064b\u0627\u060c \u0641\u0625\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0635\u062d\u064a\u062d\u0629 (\u0623\u0648 \u0627\u0644\u0623\u0635\u0641\u0627\u0631) \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/span><\/li>\n<\/ol>\n<ol start=\"2\" style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#0c0c0c;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u0639\u0631\u0641 \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0641\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 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0641\u064a \u0635\u0648\u0631\u0629 \u0645\u0646\u062a\u062c\u0627\u062a \u0630\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u0646 \u0645\u0646 \u0627\u0644\u0646\u0648\u0639\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ab8c02c3b91a39a9d1a155e9d0c5fa93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"58\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f<\/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-aa4ef60979e504a668114218a4258c12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^3+3x^2-x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0644\u0647\u0627 3 \u062c\u0630\u0648\u0631 \u0648\u0647\u064a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a62eca4d3d0e41d5d4b43e484a9b451_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+1, x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"120\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18062540cd799901f80ebaea09891a13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-3.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0625\u0639\u0627\u062f\u0629 \u0643\u062a\u0627\u0628\u0629 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0635\u0648\u0631\u0629 3 \u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0644\u0644\u0639\u0648\u0627\u0645\u0644\u060c \u0643\u0644 \u0645\u0646\u0647\u0627 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0639\u0644\u0627\u0645\u0629 \u062a\u063a\u064a\u0631 \u0627\u0644\u062c\u0630\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-ce071610927d2723c8ac2e7b299c1c5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\definecolor{vermell}{HTML}{F44336}\\definecolor{blau}{HTML}{2196F3}\\definecolor{verd}{HTML}{27AE60} P(x) =x^3+3x^2-x-3 \\ \\longrightarrow \\ \\text{ra\\'ices} \\begin{cases} x=\\color{verd}\\bm{+1} \\\\[2ex] x=\\color{vermell}\\bm{-1} \\\\[2ex] x=\\color{blau}\\bm{-3}\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"131\" width=\"609\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-a69abcf91f1dec9f01082f2d5866fa01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{vermell}{HTML}{F44336}\\definecolor{blau}{HTML}{2196F3}\\definecolor{verd}{HTML}{27AE60}P(x) =x^3+3x^2-x-3 = (x\\color{verd}\\bm{-1}\\color{black})\\cdot (x\\color{vermell}\\bm{+1}\\color{black}) \\cdot (x\\color{blau}\\bm{+3}\\color{black})\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"582\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0647\u0630\u0627 \u0645\u0627 \u064a\u0633\u0645\u0649 \u0627\u0644\u062a\u062e\u0635\u064a\u0645 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0623\u062d\u062f \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u062a\u062d\u0644\u064a\u0644\u0647\u0627. \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a\u060c \u064a\u0645\u0643\u0646\u0643 \u0645\u0639\u0631\u0641\u0629 \u0645\u0645 \u062a\u062a\u0643\u0648\u0646 \u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u062c\u062f\u064b\u0627\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 <a href=\"https:\/\/mathority.org\/ar\"><strong><span style=\"text-decoration: underline;\">\u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f<\/span><\/strong><\/a> .<\/p>\n<ol start=\"3\" style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#0c0c0c;font-weight: normal;\">\u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0647 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0643\u0645\u0627 \u062a\u0634\u064a\u0631 \u062f\u0631\u062c\u062a\u0647. \u0644\u0630\u0644\u0643\u060c \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0633\u064a\u0643\u0648\u0646 \u0644\u0647\u0627 \u062c\u0630\u0631\u064a\u0646\u060c \u0648\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0633\u064a\u0643\u0648\u0646 \u0644\u0647\u0627 3 \u062c\u0630\u0648\u0631\u060c \u0648\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u0631\u0627\u0628\u0639\u0629 \u0633\u064a\u0643\u0648\u0646 \u0644\u0647\u0627 4 \u062c\u0630\u0648\u0631\u060c \u0648\u0647\u0643\u0630\u0627.<\/span><\/li>\n<\/ol>\n<ol start=\"4\" style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#0c0c0c;font-weight: normal;\">\u0625\u0630\u0627 \u0644\u0645 \u064a\u0643\u0646 \u0644\u062f\u0649 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062d\u062f \u0645\u0633\u062a\u0642\u0644\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0623\u062d\u062f \u062c\u0630\u0648\u0631\u0647\u0627 \u0647\u0648 0. \u062b\u0645 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0628\u0642\u064a\u0629 \u0627\u0644\u062c\u0630\u0648\u0631 \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 \u0645\u0639\u0627\u0645\u0644 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u0623\u062f\u0646\u0649.<\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u064a\u0633 \u0644\u0647 \u0645\u0635\u0637\u0644\u062d \u0645\u0633\u062a\u0642\u0644:<\/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-06bfb6282e808e7365c497c01ff60eee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^3+x^2-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646\u060c \u064a\u062c\u0628 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0623\u062d\u062f \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f 0. \u0648\u0628\u0642\u064a\u0629 \u0627\u0644\u062c\u0630\u0648\u0631 \u0647\u064a \u0642\u0648\u0627\u0633\u0645 \u0644\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629\u060c \u0623\u064a -2. \u0628\u062a\u0639\u0628\u064a\u0631 \u0623\u062f\u0642\u060c \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0623\u062e\u0631\u0649 \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-eec86cbca5afb38459e47b0dce5eb23a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffba38287436639a3011d50b97654cd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"61\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0625\u0630\u0646 \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f: 0\u060c +1 \u0648 -2<\/p>\n<ol start=\"5\" style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#0c0c0c;font-weight: normal;\">\u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u064a\u0642\u0627\u0644 \u0623\u0646\u0647\u0627 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u062e\u062a\u0632\u0627\u0644.<\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0646\u062d\u0627\u0648\u0644 \u062d\u0633\u0627\u0628 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \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-4d20f05e1f8e2433a542f83bfaf519e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^2+3x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0642\u0648\u0627\u0633\u0645 -1\u060c \u0623\u064a -1 \u0648+1. \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u062a\u0642\u064a\u064a\u0645 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645:<\/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-c1128c014be9c5f642dd8a249c0fc7bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1) = 1^2 +3\\cdot 1 -1= 1 +3 -1 =3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-15853e7e7134e2b54d4470568ea6b92a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1) = (-1)^2 +3\\cdot (-1)-1 =1-3-1 =-3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"401\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627 \u064a\u062a\u0645 \u0625\u0644\u063a\u0627\u0621 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0623\u064a \u062d\u0627\u0644 \u0645\u0646 \u0627\u0644\u0623\u062d\u0648\u0627\u0644\u060c \u0644\u0630\u0644\u0643 \u0644\u064a\u0633 \u0644\u0647\u0627 \u062c\u0630\u0648\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0647\u064a \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0627\u062e\u062a\u0632\u0627\u0644.<\/p>\n<ol start=\"6\" style=\"color:#ff5733; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#0c0c0c;font-weight: normal;\">\u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0643\u0648\u0646 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0639\u062f\u0629 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0641\u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0625\u062c\u0631\u0627\u0621 \u0647\u0630\u0627 \u0627\u0644\u0636\u0631\u0628 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062c\u0630\u0648\u0631\u060c \u0648\u0644\u0643\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u0644 \u0639\u0627\u0645\u0644 \u0645\u0636\u0631\u0648\u0628\u064b\u0627.<\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f \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-c5b7b6a31a96b6ed2e2e0187ea6aa8ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x-2) \\cdot (x+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"182\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u064a\u0633\u0631\u0649 \u0647\u0648 +2 \u0648\u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u064a\u0645\u0646\u0649 \u0647\u0648 -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-18a96a84b626c71b099da0c446b6367f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (x-2) \\ \\longrightarrow \\ \\text{ra\\'iz} \\ x=+2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-10dab76581eedafb14febe2a82f03005_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (x+1) \\ \\longrightarrow \\ \\text{ra\\'iz} \\ x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0636\u0631\u0628 \u0627\u0644\u0639\u0627\u0645\u0644\u064a\u0646 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u0644 \u0645\u0646\u0647\u0645\u0627\u060c \u0623\u064a +2 \u0648 -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-416399918b5a2a051a6bfc7343ef7960_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  P(x) = (x-2) \\cdot (x+1) \\ \\longrightarrow \\ \\text{ra\\'ices} \\ \\begin{cases}x=+2  \\\\[2ex] x=-1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"357\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-raices-de-polinomios\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f<span class=\"ez-toc-section-end\"><\/span><\/h2>\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\"> \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646<\/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-4c11e65374dfa6f887fb53ffc5765aed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \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-af9bc84f96cb9f496322a41fe8818906_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+2x^2-11x-12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"216\" 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\"> \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\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-b3dc975a98ccada6f136856736d7df06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062a\u0642\u064a\u064a\u0645\u0647 \u0644\u062a\u0644\u0643 \u0627\u0644\u0642\u064a\u0645\u0629. \u062d\u062a\u0649 \u0627\u0644\u0622\u0646:<\/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-0c88c4456693b0c57d55aba68287414c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(-4)&amp; =(-4)^3+2\\cdot (-4)^2-11\\cdot (-4) -12 \\\\[2ex] &amp; = -64+2\\cdot 16 +44 -12 \\\\[2ex] &amp; = -64+32+44 -12 \\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"333\" 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\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0641\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-b3dc975a98ccada6f136856736d7df06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627\u060c \u0644\u0630\u0627 \u0641\u0647\u0648 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u062c\u0630\u0631 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/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\u062d\u0633\u0628 \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \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-9f4ac06469282d1968cf43d2d7dc35ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2-3x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" 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\"> \u0623\u0648\u0644\u064b\u0627\u060c \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644. \u0625\u0630\u0646 \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 2 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 2: +1\u060c -1\u060c +2\u060c -2<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0623\u0648 \u0627\u0644\u0623\u0635\u0641\u0627\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u00b11 \u0648\u00b12. \u0644\u0630\u0644\u0643\u060c \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0645\u0642\u062f\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0643\u0644 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645: <\/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-41fba5390c3cecf1515f0a03890981a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1)=1^2-3\\cdot 1+2 =1-3+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-c8bfa6157619295c166a356db7b6fd1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1)=(-1)^2-3\\cdot (-1)+2 =1+3+2=6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"355\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-b6c2ccc218c0f8e8ffd9eb599a0063b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=2^2-3\\cdot 2+2 =4-6+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-d10352d63709d5958d81f4910c0bf9cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=(-2)^2-3\\cdot (-2)+2 =4+6+2=12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"363\" style=\"vertical-align: -5px;\"><\/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 \u0641\u0625\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062a\u062e\u062a\u0641\u064a \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 <em>x<\/em> +1 \u0623\u0648 +2\u060c \u0644\u0630\u0627 \u0641\u0625\u0644\u064a\u0643 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> : +1 \u0648 +2<\/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\"> \u0623\u0648\u062c\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \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-dd0105a18a9affad36c35065a8460095_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-x^2-4x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center;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\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u0625\u064a\u062c\u0627\u062f \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u060c \u0644\u0623\u0646 \u062c\u0630\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u0648 \u0623\u064a\u0636\u064b\u0627 \u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644. \u0625\u0630\u0646 \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 4 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 4: +1\u060c -1\u060c +2\u060c -2\u060c +4\u060c -4<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0623\u0648 \u0627\u0644\u0623\u0635\u0641\u0627\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u00b11 \u0648\u00b12 \u0648\u00b14. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \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 \u0641\u064a \u0643\u0644 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645: <\/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-49c2352542c6a029b23b2f23f505e2d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1)=1^3-1^2-4\\cdot 1+4  =1-1-4+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-1d1819dce07b117e3afc654b4c3b6f0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1)=(-1)^3-(-1)^2-4\\cdot (-1)+4 =-1-1+4+4=6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"465\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-1732090f2003d044169d6fec895e790e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=2^3-2^2-4\\cdot 2+4 =8-4-8+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-d825dc0a2c377ab13e3c1b404252d2eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=(-2)^3-(-2)^2-4\\cdot (-2)+4 =-8-4+8+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"465\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-eacdec999ade2fcddaa431651bb5a24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3)=3^3-3^2-4\\cdot 3+4 =27-9-12+4=10\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"381\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-d9db73e42d678a731d3343d3b9d61aad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-3)=(-3)^3-(-3)^2-4\\cdot (-3)+4 =-27-9+12+4=20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"491\" style=\"vertical-align: -5px;\"><\/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 \u0641\u0625\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062a\u062e\u062a\u0641\u064a \u0641\u0642\u0637 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 <em>x<\/em> +1 \u0623\u0648 +2 \u0623\u0648 -2\u060c \u0644\u0630\u0627 \u0641\u0625\u0644\u064a\u0643 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> : +1\u060c +2 \u0648 -2<\/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 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \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-dc922d3e38a3393ff70f5f382ea9518a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-6x^2+8x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"168\" 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 \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u064a\u0633 \u0644\u0647 \u062d\u062f \u0645\u0633\u062a\u0642\u0644. \u0644\u0630\u0644\u0643\u060c \u0648\u0641\u0642\u064b\u0627 \u0644\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0631\u0627\u0628\u0639\u0629 \u0644\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0623\u0639\u0644\u0627\u0647\u060c \u0646\u0639\u0644\u0645 \u0623\u0646 \u0623\u062d\u062f \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 0.<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f:<\/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-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u064a\u0633\u062a \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u060c \u0628\u0644 \u0647\u064a \u0642\u0648\u0627\u0633\u0645 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u062f\u0631\u062c\u0629\u060c \u0623\u064a 8:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u0639\u062f\u062f 8: +1\u060c -1\u060c +2\u060c -2\u060c +4\u060c -4\u060c +8\u060c -8<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0623\u0648 \u0627\u0644\u0623\u0635\u0641\u0627\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u00b11\u060c \u00b12\u060c \u00b14 \u0648\u00b18. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \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 \u0641\u064a \u062c\u0645\u064a\u0639 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645: <\/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-5924a559a5d5fda73011bcc015baf065_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1)=1^3-6\\cdot 1^2+8\\cdot 1 = 1-6+8=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-f32e3cf981a0aadf450398e01009ca32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1)=(-1)^3-6\\cdot (-1)^2+8\\cdot (-1) = -1-6-8=-15\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"447\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-cf97abc29d59bc2bd3ccd23c0dc4c65e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=2^3-6\\cdot 2^2+8\\cdot 2 = 8-24+16=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"333\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-bfbaf3ddbb35e0e6b0485f470b1d728e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=(-2)^3-6\\cdot (-2)^2+8\\cdot (-2) = -8-24-16=-48\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"466\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-e0dbed0cbe6b8d889baa7f0bd1defd25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(4)=4^3-6\\cdot 4^2+8\\cdot 4 = 64-96+32=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"342\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-a055f8dc436c65e9419e66d9af651518_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-4)=(-4)^3-6\\cdot (-4)^2+8\\cdot (-4) = -64-96-32=-192\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"483\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-907d1e28e52de3fb47a1c043f30f9ae2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(8)=8^3-6\\cdot 8^2+8\\cdot 8 = 512-384+64=192\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"376\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-909a39e1a028550d7668da5b6bc4b645_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-8)=(-8)^3-6\\cdot (-8)^2+8\\cdot (-8) = -512-384-64=-960\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"502\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u064a\u062e\u062a\u0641\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 <em>x<\/em> +2 \u0623\u0648 +4\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0646\u062d\u062a\u0627\u062c \u0623\u064a\u0636\u064b\u0627 \u0625\u0644\u0649 \u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u062c\u0630\u0631 0 \u0627\u0644\u0630\u064a \u0648\u062c\u062f\u0646\u0627\u0647 \u0641\u064a \u0628\u062f\u0627\u064a\u0629 \u0627\u0644\u0645\u0634\u0643\u0644\u0629. \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u062c\u0645\u064a\u0639 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> : 0\u060c +2 \u0648 +4<\/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 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0633\u062a\u062e\u062f\u0645 \u062e\u0635\u0627\u0626\u0635 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u062d\u0633\u0627\u0628 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \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-c4239d0a1f7d60dc0777b21e2358fe0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=(x-1)(x+3)(x^2-x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"263\" 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\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0641\u064a \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0633\u0627\u062f\u0633\u0629 \u0644\u0644\u062c\u0630\u0648\u0631\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u062a\u0643\u0648\u0646 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0639\u0648\u0627\u0645\u0644\u060c \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u0627\u0644\u062c\u0630\u0648\u0631\u060c \u0644\u0623\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u0644 \u0639\u0627\u0645\u0644.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u062c\u0630\u0631 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0623\u0648\u0644 \u0647\u0648 +1 \u0648\u062c\u0630\u0631 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u062b\u0627\u0646\u064a \u0647\u0648 -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-607af42f41a1a5a52051391d5d47ca3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (x-1) \\ \\longrightarrow \\ \\text{ra\\'iz} \\ x=+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-791d22dce6bc5be0f80587bcb546aa7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (x+3) \\ \\longrightarrow \\ \\text{ra\\'iz} \\ x=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646\u060c \u0639\u0644\u064a\u0646\u0627 \u0641\u0642\u0637 \u0625\u064a\u062c\u0627\u062f \u062c\u0630\u0648\u0631 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0623\u062e\u064a\u0631. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0646\u062c\u062f \u0642\u0648\u0627\u0633\u0645 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644 (-2):<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> \u0642\u0648\u0627\u0633\u0645 -2: +1\u060c -1\u060c +2\u060c -2<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0623\u0648 \u0627\u0644\u0623\u0635\u0641\u0627\u0631 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0622\u062e\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u00b11 \u0648\u00b12. \u0648\u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u0623\u0646 \u0646\u062d\u0633\u0628 \u0628\u0647\u0627 \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 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645: <\/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-bbe8195e9f2004a13690e93c706dda7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q(x)= x^2-x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-99c067ce0e31bf3211cca04bcfce7426_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q(1)=1^2-1-2=1-1-2=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"272\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-f1180dacd124c0c5f5b638814d572bcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q(-1)=(-1)^2-(-1)-2=1+1-2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-a685aef3ac803e8600783a6b05555479_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q(2)=2^2-2-2=4-2-2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"259\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-0311cf59227e5a6fcd7b92715e080f06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q(-2)=(-2)^2-(-2)-2=4+2-2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646 \u0647\u064a -1 \u06482.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0647\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u062c\u0630\u0648\u0631 \u0623\u0648 \u0623\u0635\u0641\u0627\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> : +1\u060c -1\u060c +2\u060c -3 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\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 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f. \u0645\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f\u061f \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u062c\u0630\u0648\u0631 (\u0623\u0648 \u0623\u0635\u0641\u0627\u0631) \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f. \u0623\u064a \u0623\u0646 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0647\u064a \u0643\u0644 \u062a\u0644\u0643 \u0627\u0644\u0642\u064a\u0645 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%ac%d8%b0%d9%88%d8%b1-%d9%83%d8%ab%d9%8a%d8%b1%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af\/\"> <span class=\"screen-reader-text\">\u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/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-58","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f\u061f (\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629)<\/title>\n<meta name=\"description\" content=\"\u0634\u0631\u062d \u0645\u0627 \u0647\u064a \u062c\u0630\u0648\u0631 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627. \u2705 \u0645\u0639 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\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. \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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