{"id":55,"date":"2023-09-17T07:25:59","date_gmt":"2023-09-17T07:25:59","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%a0%b9\/"},"modified":"2023-09-17T07:25:59","modified_gmt":"2023-09-17T07:25:59","slug":"%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%a0%b9","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%a0%b9\/","title":{"rendered":"\u591a\u9879\u5f0f\u7684\u6839"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u591a\u9879\u5f0f\u7684\u6839\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u4eec\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u6839\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-las-raices-de-un-polinomio\"><\/span>\u591a\u9879\u5f0f\u7684\u6839\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5728\u6570\u5b66\u4e2d\uff0c\u591a\u9879\u5f0f\u7684\u6839\uff08\u6216\u96f6\u70b9\uff09\u662f\u53d6\u6d88\u591a\u9879\u5f0f\u7684\u503c\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u591a\u9879\u5f0f\u7684\u6839\u662f\u5728\u591a\u9879\u5f0f\u4e2d\u8ba1\u7b97\u65f6\u6570\u503c\u7b49\u4e8e 0 \u7684\u6240\u6709\u503c\u3002<\/strong><\/p>\n<p>\u6700\u7ec8\uff0c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u662f\u591a\u9879\u5f0f\u7684\u6839<\/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>\u662f\u7684<\/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\">\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=\"\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9\" class=\"wp-image-916\" width=\"170\" height=\"172\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4ee5\u4e0b\u591a\u9879\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u6211\u4eec\u53ef\u4ee5\u9a8c\u8bc1\u591a\u9879\u5f0f\u7684\u6839\u4e4b\u4e00\u662f 1\uff0c\u56e0\u4e3a<em>x=1<\/em>\u5904\u591a\u9879\u5f0f\u7684\u6570\u503c\u7b49\u4e8e 0\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u53e6\u4e00\u65b9\u9762\uff0c3 \u4e0d\u662f\u591a\u9879\u5f0f\u7684\u6839\uff0c\u56e0\u4e3a\u5b83\u4e0d\u662f\u53d6\u6d88\u591a\u9879\u5f0f\u7684\u503c\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u591a\u9879\u5f0f\u5728<em>x=3<\/em>\u5904\u7684\u6570\u503c\u4e0d\u540c\u4e8e\u96f6\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u60a8\u73b0\u5728\u53ef\u80fd\u66f4\u597d\u5730\u7406\u89e3\u4e86\u591a\u9879\u5f0f\u7684\u6839\u662f\u4ec0\u4e48\uff0c\u4f46\u662f\u60a8\u4e0d\u60f3\u77e5\u9053\u591a\u9879\u5f0f\u6709\u591a\u5c11\u4e2a\u6839\u5417\uff1f\u6216\u8005\u5982\u4f55\u627e\u5230\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\uff1f\u55ef\uff0c\u8fd9\u6b63\u662f\u6211\u4eec\u5c06\u5728\u4e0b\u4e00\u8282\u4e2d\u770b\u5230\u7684\u5185\u5bb9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-calcular-todas-las-raices-de-un-polinomio\"><\/span>\u5982\u4f55\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u627e\u5230\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\uff0c\u5fc5\u987b\u9075\u5faa\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ol style=\"color:#ff5733; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u9996\u5148\uff0c\u8ba1\u7b97\u591a\u9879\u5f0f\u72ec\u7acb\u9879\u7684\u6240\u6709\u7ea6\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#000000;font-weight: normal;\">\u5176\u6b21\uff0c\u5728\u591a\u9879\u5f0f\u4e2d\u8bc4\u4f30\u4e0a\u4e00\u6b65\u4e2d\u627e\u5230\u7684\u6240\u6709\u503c\u3002<\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\u6700\u540e\uff0c\u5982\u679c\u5f53\u8bc4\u4f30\u591a\u9879\u5f0f\u4e2d\u7684\u4e00\u4e2a\u6570\u65f6\u5176\u6570\u503c\u7b49\u4e8e0\uff0c\u5219\u8be5\u6570\u662f\u591a\u9879\u5f0f\u7684\u6839\u3002\u5426\u5219\uff0c\u6240\u8ff0\u6570\u5b57\u4e0d\u5bf9\u5e94\u4e8e\u591a\u9879\u5f0f\u7684\u6839\u3002<\/span><\/li>\n<\/ol>\n<p>\u6b64\u8fc7\u7a0b\u662f\u4ece<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4f59\u6570\u5b9a\u7406\u793a\u4f8b\u548c\u4e60\u9898\u5df2\u89e3\u51b3\/\">\u4f59\u6570\u5b9a\u7406<\/a><\/span><\/strong>\u63a8\u5bfc\u51fa\u6765\u7684\uff0c\u5355\u51fb\u6b64\u94fe\u63a5\u53ef\u4e86\u89e3\u6b64\u7279\u5b9a\u8fc7\u7a0b\u7684\u539f\u56e0\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-de-como-se-calculan-las-raices-de-un-polinomio\"><\/span>\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6839\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4e0b\u9762\u6211\u4eec\u5c06\u4e00\u6b65\u6b65\u6c42\u89e3\u4e00\u4e2a\u4f8b\u5b50\uff0c\u4ee5\u4fbf\u60a8\u66f4\u597d\u5730\u7406\u89e3\u5982\u4f55\u6c42\u591a\u9879\u5f0f\u7684\u6839\u3002<\/p>\n<ul>\n<li>\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u662f\u4ec0\u4e48\uff1f<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u9996\u5148\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230\u72ec\u7acb\u9879\u7684\u7ea6\u6570\uff0c\u56e0\u4e3a\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u6839\u4e5f\u662f\u72ec\u7acb\u9879\u7684\u7ea6\u6570\u3002\u6240\u4ee5\uff0c6\u7684\u7ea6\u6570\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\"> 6 \u7684\u7ea6\u6570\uff1a+1\u3001-1\u3001+2\u3001-2\u3001+3\u3001-3<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u4e00\u4e2a\u6570\u5b57\u662f\u4e00\u4e2a\u9664\u6570\uff0c\u90a3\u4e48\u5b83\u7684\u8d1f\u6570\u4e5f\u662f\u4e00\u4e2a\u9664\u6570\u3002\u56e0\u4e3a\u4e00\u4e2a\u6570\u53ef\u4ee5\u88ab\u6b63\u6570\u548c\u8d1f\u6570\u6574\u9664\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u6216\u96f6\u70b9\u4e3a\uff1a\u00b11\u3001\u00b12\u3001\u00b13\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u786e\u5b9a\u6240\u6709\u8fd9\u4e9b\u503c\u7684\u591a\u9879\u5f0f\u7684\u6570\u503c\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u8fd9\u4e9b\u503c\u4ee3\u5165\u6709 x \u7684\u591a\u9879\u5f0f\u7684\u8868\u8fbe\u5f0f\u4e2d\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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 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 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>\u56e0\u6b64\uff0c\u53ea\u6709\u5f53\u53d8\u91cf<em>x<\/em>\u4e3a +2 \u6216 +3 \u65f6\uff0c\u591a\u9879\u5f0f\u624d\u4f1a\u6d88\u5931\uff0c\u6240\u4ee5\u8fd9\u91cc\u662f\u591a\u9879\u5f0f\u7684\u6839\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9<\/strong>\uff1a+2 \u548c +3<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8bf7\u6ce8\u610f\u591a\u9879\u5f0f\u7684\u6839\u4e0e\u5176\u6b21\u6570\u4e00\u6837\u591a\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u7531\u4e8e\u591a\u9879\u5f0f\u662f\u4e8c\u9636\uff0c\u6240\u4ee5\u5b83\u6709\u4e24\u4e2a\u6839\u3002\u5728\u591a\u9879\u5f0f\u6839\u7684\u6027\u8d28\uff08\u5982\u4e0b\uff09\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4e3a\u4ec0\u4e48\u8fd9\u4e2a\u7279\u5f81\u5bf9\u4e8e\u4efb\u4f55\u591a\u9879\u5f0f\u603b\u662f\u6210\u7acb\u3002<\/p>\n<p>\u6211\u4eec\u521a\u521a\u770b\u5230\u4e86\u4e00\u79cd\u6c42\u591a\u9879\u5f0f\u6839\u7684\u65b9\u6cd5\u3002\u7136\u800c\uff0c\u8fd8\u6709\u5176\u4ed6\u65b9\u6cd5\u53ef\u4ee5\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u4f8b\u5982\u60a8\u8fd8\u53ef\u4ee5\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6c42\u591a\u9879\u5f0f\u7684\u6839\u3002\u5355\u51fb\u4ee5\u4e0b\u94fe\u63a5\u67e5\u770b<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u89c4\u5219\u5df2\u89e3\u51b3\u793a\u4f8b\u9c81\u83f2\u5c3c\u7ec3\u4e60\/\">\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u793a\u4f8b<\/a><\/span><\/strong>\uff0c\u5728\u8fd9\u91cc\u60a8\u5c06\u53d1\u73b0\u8fd9\u4e2a\u4f17\u6240\u5468\u77e5\u7684\u65b9\u6cd5\u7684\u7ec4\u6210\u90e8\u5206\uff0c\u4ee5\u53ca\u4e24\u4e2a\u8fc7\u7a0b\u4e4b\u95f4\u7684\u533a\u522b\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-las-raices-de-un-polinomio\"><\/span>\u591a\u9879\u5f0f\u6839\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9\u5177\u6709\u4ee5\u4e0b\u7279\u5f81\uff1a<\/p>\n<ol start=\"1\" style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#0c0c0c;font-weight: normal;\">\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u6240\u770b\u5230\u7684\uff0c\u591a\u9879\u5f0f\u7684\u6574\u6570\u6839\uff08\u6216\u96f6\uff09\u662f\u591a\u9879\u5f0f\u72ec\u7acb\u9879\u7684\u7ea6\u6570\u3002<\/span><\/li>\n<\/ol>\n<ol start=\"2\" style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#0c0c0c;font-weight: normal;\">\u5982\u679c\u6211\u4eec\u77e5\u9053\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u6240\u8ff0\u591a\u9879\u5f0f\u8868\u793a\u4e3a\u4ee5\u4e0b\u7c7b\u578b\u7684\u4e8c\u9879\u5f0f\u4e58\u79ef\u7684\u5f62\u5f0f\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>\u4f8b\u5982\uff0c\u591a\u9879\u5f0f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u5b83\u6709 3 \u4e2a\u6839\uff0c\u5206\u522b\u662f<\/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>\u548c<\/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>\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u591a\u9879\u5f0f\u91cd\u5199\u4e3a 3 \u4e2a\u56e0\u5b50\u4e58\u6cd5\u7684\u5f62\u5f0f\uff0c\u6bcf\u4e2a\u56e0\u5b50\u7531\u53d8\u91cf\u5f62\u6210<\/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>\u5e76\u4e14\u6839\u5df2\u7ecf\u6539\u53d8\u4e86\u7b26\u53f7\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u8fd9\u79f0\u4e3a\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u3002\u4e8b\u5b9e\u4e0a\uff0c\u786e\u5b9a\u591a\u9879\u5f0f\u6839\u7684\u4e3b\u8981\u5e94\u7528\u4e4b\u4e00\u662f\u7528\u4e8e\u5bf9\u5176\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e2d\uff0c\u60a8\u53ef\u4ee5\u4e86\u89e3\u8fd9\u4e2a\u975e\u5e38\u7279\u6b8a\u7684\u8fd0\u7b97\u7684\u7ec4\u6210\u90e8\u5206\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7<a href=\"https:\/\/mathority.org\/cn\"><strong><span style=\"text-decoration: underline;\">\u6c42\u89e3\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u7ec3\u4e60<\/span><\/strong><\/a>\u8fdb\u884c\u7ec3\u4e60\u3002<\/p>\n<ol start=\"3\" style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#0c0c0c;font-weight: normal;\">\u591a\u9879\u5f0f\u7684\u6839\u6570\u4e0e\u5176\u6b21\u6570\u76f8\u540c\u3002\u56e0\u6b64\uff0c\u4e8c\u9636\u591a\u9879\u5f0f\u6709 2 \u4e2a\u6839\uff0c\u4e09\u9636\u591a\u9879\u5f0f\u6709 3 \u4e2a\u6839\uff0c\u56db\u9636\u591a\u9879\u5f0f\u6709 4 \u4e2a\u6839\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002<\/span><\/li>\n<\/ol>\n<ol start=\"4\" style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#0c0c0c;font-weight: normal;\">\u5982\u679c\u4e00\u4e2a\u591a\u9879\u5f0f\u6ca1\u6709\u72ec\u7acb\u9879\uff0c\u5219\u610f\u5473\u7740\u5b83\u7684\u4e00\u4e2a\u6839\u4e3a0\u3002\u90a3\u4e48\u5176\u4f59\u7684\u6839\u4e00\u5b9a\u662f\u6700\u4f4e\u6b21\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u7684\u7ea6\u6570\u3002<\/span><\/li>\n<\/ol>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u591a\u9879\u5f0f\u6ca1\u6709\u72ec\u7acb\u9879\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u56e0\u6b64\u591a\u9879\u5f0f\u7684\u4e00\u4e2a\u6839\u5fc5\u7136\u4e3a0\u3002\u5176\u4f59\u7684\u6839\u662f\u6700\u4f4e\u6b21\u9879\u7684\u7cfb\u6570\u7684\u7ea6\u6570\uff0c\u5373-2\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u5176\u4ed6\u6839\u662f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u548c<\/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>\u6240\u4ee5\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u90fd\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\">\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9\uff1a0\u3001+1 \u548c -2<\/p>\n<ol start=\"5\" style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#0c0c0c;font-weight: normal;\">\u5f53\u591a\u9879\u5f0f\u7684\u6839\u65e0\u6cd5\u786e\u5b9a\u65f6\uff0c\u79f0\u5176\u4e3a\u4e0d\u53ef\u7ea6\u591a\u9879\u5f0f\u3002<\/span><\/li>\n<\/ol>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u5c06\u5c1d\u8bd5\u8ba1\u7b97\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6839\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u591a\u9879\u5f0f\u552f\u4e00\u53ef\u80fd\u7684\u6839\u662f -1 \u7684\u7ea6\u6570\uff0c\u5373 -1 \u548c +1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u591a\u9879\u5f0f\u8bc4\u4f30\u4e3a\u8fd9\u4e9b\u503c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u5728\u4efb\u4f55\u60c5\u51b5\u4e0b\uff0c\u591a\u9879\u5f0f\u90fd\u4e0d\u4f1a\u88ab\u53d6\u6d88\uff0c\u56e0\u6b64\u5b83\u6ca1\u6709\u6839\uff0c\u56e0\u6b64\u5b83\u662f\u4e00\u4e2a\u4e0d\u53ef\u7ea6\u591a\u9879\u5f0f\u3002<\/p>\n<ol start=\"6\" style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#0c0c0c;font-weight: normal;\">\u5f53\u591a\u9879\u5f0f\u662f\u7531\u51e0\u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u79ef\u7ec4\u6210\u65f6\uff0c\u4e0d\u9700\u8981\u505a\u8fd9\u4e2a\u4e58\u79ef\u6765\u8ba1\u7b97\u6839\uff0c\u800c\u662f\u591a\u9879\u5f0f\u7684\u6839\u662f\u6bcf\u4e2a\u56e0\u5b50\u76f8\u4e58\u7684\u6839\u3002<\/span><\/li>\n<\/ol>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4ee5\u4e0b\u591a\u9879\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u4ece\u591a\u9879\u5f0f\u6839\u7684\u7b2c\u4e8c\u4e2a\u6027\u8d28\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u5de6\u8fb9\u591a\u9879\u5f0f\u7684\u6839\u662f+2\uff0c\u53f3\u8fb9\u591a\u9879\u5f0f\u7684\u6839\u662f-1\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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>\u56e0\u6b64\uff0c\u7531\u4e24\u4e2a\u56e0\u5b50\u76f8\u4e58\u5f97\u5230\u7684\u591a\u9879\u5f0f\u7684\u6839\u662f\u5b83\u4eec\u5404\u81ea\u7684\u6839\uff0c\u5373+2\u548c-1\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-raices-de-polinomios\"><\/span>\u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u6839\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u786e\u5b9a\u662f\u5426<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u662f\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6839\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u627e\u51fa\u662f\u5426<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u662f\u591a\u9879\u5f0f\u7684\u6839\uff0c\u6211\u4eec\u9700\u8981\u5c06\u5176\u8ba1\u7b97\u4e3a\u8be5\u503c\u3002\u7136\u800c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u591a\u9879\u5f0f\u7684\u6570\u503c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u4e3a\u96f6\uff0c\u56e0\u6b64\u5b83\u5b9e\u9645\u4e0a\u662f\u591a\u9879\u5f0f\u7684\u6839\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9996\u5148\uff0c\u4e3a\u4e86\u627e\u5230\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230\u72ec\u7acb\u9879\u7684\u7ea6\u6570\u3002\u6240\u4ee5\uff0c2\u7684\u7ea6\u6570\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\"> 2 \u7684\u7ea6\u6570\uff1a+1\u3001-1\u3001+2\u3001-2<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u6216\u96f6\u70b9\u4e3a \u00b11 \u548c \u00b12\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u591a\u9879\u5f0f\u5728\u6240\u6709\u8fd9\u4e9b\u503c\u4e2d\u5360\u591a\u5c11\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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\">\u56e0\u6b64\uff0c\u5f53<em>x<\/em>\u4e3a +1 \u6216 +2 \u65f6\uff0c\u591a\u9879\u5f0f\u6d88\u5931\uff0c\u56e0\u6b64\u8fd9\u91cc\u662f\u591a\u9879\u5f0f\u7684\u6839\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9<\/strong>\uff1a+1 \u548c +2<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6839\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5fc5\u987b\u9996\u5148\u627e\u5230\u72ec\u7acb\u9879\u7684\u7ea6\u6570\uff0c\u56e0\u4e3a\u591a\u9879\u5f0f\u7684\u6839\u4e5f\u662f\u72ec\u7acb\u9879\u7684\u7ea6\u6570\u3002\u6240\u4ee5\uff0c4 \u7684\u7ea6\u6570\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\"> 4 \u7684\u7ea6\u6570\uff1a+1\u3001-1\u3001+2\u3001-2\u3001+4\u3001-4<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u6216\u96f6\u70b9\u4e3a \u00b11\u3001\u00b12 \u548c \u00b14\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5728\u6240\u6709\u8fd9\u4e9b\u503c\u4e2d\u627e\u5230\u591a\u9879\u5f0f\u7684\u6570\u503c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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 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 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\">\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u4ec5\u5728<em>x<\/em>\u4e3a +1\u3001+2 \u6216 -2 \u65f6\u6d88\u5931\uff0c\u56e0\u6b64\u8fd9\u91cc\u662f\u591a\u9879\u5f0f\u7684\u6839\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9<\/strong>\uff1a+1\u3001+2 \u548c -2<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6839\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u591a\u9879\u5f0f\u6ca1\u6709\u72ec\u7acb\u9879\u3002\u56e0\u6b64\uff0c\u6839\u636e\u4e0a\u9762\u89e3\u91ca\u7684\u6839\u7684\u7b2c\u56db\u4e2a\u6027\u8d28\uff0c\u6211\u4eec\u77e5\u9053\u591a\u9879\u5f0f\u7684\u6839\u4e4b\u4e00\u5fc5\u987b\u4e3a0\u3002<\/p>\n<p class=\"has-text-align-center\">\u591a\u9879\u5f0f\u7684\u6839\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\u6b64\u5916\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u53ef\u80fd\u7684\u6839\u4e0d\u662f\u72ec\u7acb\u9879\u7684\u7ea6\u6570\uff0c\u800c\u662f\u6700\u4f4e\u6b21\u9879\u7684\u7cfb\u6570\u7684\u7ea6\u6570\uff0c\u5373 8\uff1a<\/p>\n<p class=\"has-text-align-center\"> 8 \u7684\u7ea6\u6570\uff1a+1\u3001-1\u3001+2\u3001-2\u3001+4\u3001-4\u3001+8\u3001-8<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u6216\u96f6\u70b9\u4e3a \u00b11\u3001\u00b12\u3001\u00b14 \u548c \u00b18\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u8ba1\u7b97\u6240\u6709\u8fd9\u4e9b\u503c\u5904\u7684\u591a\u9879\u5f0f\u7684\u6570\u503c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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 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 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 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 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\">\u6240\u4ee5\u5f53<em>x<\/em>\u4e3a+2\u6216+4\u65f6\u591a\u9879\u5f0f\u6d88\u5931\uff0c\u6240\u4ee5\u8fd9\u4e9b\u503c\u5c31\u662f\u591a\u9879\u5f0f\u7684\u6839\u3002\u7136\u800c\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u6dfb\u52a0\u6211\u4eec\u5728\u95ee\u9898\u5f00\u59cb\u65f6\u627e\u5230\u7684\u6839 0\u3002\u603b\u4e4b\uff0c\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u4e3a\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9<\/strong>\uff1a0\u3001+2 \u548c +4<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u5229\u7528\u591a\u9879\u5f0f\u6839\u7684\u6027\u8d28\u8ba1\u7b97\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u6839\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6b63\u5982\u6211\u4eec\u5728\u6839\u7684\u7b2c\u516d\u4e2a\u6027\u8d28\u4e2d\u770b\u5230\u7684\uff0c\u5f53\u591a\u9879\u5f0f\u7531\u56e0\u5b50\u4e58\u79ef\u5f62\u6210\u65f6\uff0c\u4e0d\u9700\u8981\u8ba1\u7b97\u6240\u6709\u7684\u6839\uff0c\u56e0\u4e3a\u6574\u4e2a\u591a\u9879\u5f0f\u7684\u6839\u5c31\u662f\u6bcf\u4e2a\u56e0\u5b50\u7684\u6839\u3002<\/p>\n<p class=\"has-text-align-left\">\u6b64\u5916\uff0c\u6839\u636e\u591a\u9879\u5f0f\u6839\u7684\u7b2c\u4e8c\u4e2a\u6027\u8d28\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u7b2c\u4e00\u4e2a\u56e0\u5b50\u7684\u6839\u662f+1\uff0c\u7b2c\u4e8c\u4e2a\u56e0\u5b50\u7684\u6839\u662f-3\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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\">\u6240\u4ee5\u6211\u4eec\u53ea\u9700\u8981\u627e\u5230\u6700\u540e\u4e00\u4e2a\u56e0\u5b50\u7684\u6839\u5373\u53ef\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u627e\u5230\u72ec\u7acb\u9879 (-2) \u7684\u7ea6\u6570\uff1a<\/p>\n<p class=\"has-text-align-center\"> -2 \u7684\u7ea6\u6570\uff1a+1\u3001-1\u3001+2\u3001-2<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u6700\u540e\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u6216\u96f6\u70b9\u662f\u00b11\u548c\u00b12\u3002\u6211\u4eec\u5fc5\u987b\u7528\u5b83\u6765\u8ba1\u7b97\u6240\u6709\u8fd9\u4e9b\u503c\u4e2d\u6240\u8ff0\u591a\u9879\u5f0f\u7684\u6570\u503c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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 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 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 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\">\u56e0\u6b64\uff0c\u53f3\u8fb9\u591a\u9879\u5f0f\u7684\u6839\u662f -1 \u548c 2\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6574\u4e2a\u591a\u9879\u5f0f\u7684\u6839\u5c31\u662f\u6240\u6709\u627e\u5230\u7684\u6839\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u591a\u9879\u5f0f\u7684\u6839\u6216\u96f6\u70b9<\/strong>\uff1a+1\u3001-1\u3001+2\u3001-3 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u591a\u9879\u5f0f\u7684\u6839\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u4eec\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u6839\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 \u591a\u9879 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%a0%b9\/\"> <span class=\"screen-reader-text\">\u591a\u9879\u5f0f\u7684\u6839<\/span> \u67e5\u770b\u5168\u6587 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