{"id":57,"date":"2023-09-17T07:23:50","date_gmt":"2023-09-17T07:23:50","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e8%a7%84%e5%88%99%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%a4%ba%e4%be%8b%e9%b2%81%e8%8f%b2%e5%b0%bc%e7%bb%83%e4%b9%a0\/"},"modified":"2023-09-17T07:23:50","modified_gmt":"2023-09-17T07:23:50","slug":"%e8%a7%84%e5%88%99%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%a4%ba%e4%be%8b%e9%b2%81%e8%8f%b2%e5%b0%bc%e7%bb%83%e4%b9%a0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e8%a7%84%e5%88%99%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%a4%ba%e4%be%8b%e9%b2%81%e8%8f%b2%e5%b0%bc%e7%bb%83%e4%b9%a0\/","title":{"rendered":"\u9c81\u83f2\u5c3c\u591a\u9879\u5f0f\u9664\u6cd5\u89c4\u5219\uff08\u6216\u65b9\u6cd5\uff09"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6765\u9664\u591a\u9879\u5f0f\u3002\u9664\u4e86\u89e3\u91ca\u4e4b\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u53d1\u73b0\u8be5\u65b9\u6cd5\u7684\u6240\u6709\u5e94\u7528\uff0c\u4e8b\u5b9e\u4e0a\uff0c\u4e0d\u6b62\u4e00\u4e2a\u5e94\u7528\u80af\u5b9a\u4f1a\u8ba9\u60a8\u611f\u5230\u60ca\u8bb6\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-regla-de-Ruffini\"><\/span>\u9c81\u83f2\u5c3c\u6cd5\u5219\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5728\u6570\u5b66\u4e2d\uff0c\u9c81\u83f2\u5c3c\u89c4\u5219\u662f\u4e00\u79cd\u4ee3\u6570\u65b9\u6cd5\uff0c\u53ef\u8ba9\u60a8\u5feb\u901f\u5c06\u4efb\u4f55\u591a\u9879\u5f0f\u9664\u4ee5<em>xr<\/em>\u5f62\u5f0f\u7684\u591a\u9879\u5f0f\u3002<\/strong>\u9c81\u83f2\u5c3c\u6cd5\u5219\u4ee5\u6570\u5b66\u5bb6\u4fdd\u7f57\u00b7\u9c81\u83f2\u5c3c\u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u53d1\u660e\u4e86\u8fd9\u79cd\u65b9\u6cd5\u3002<\/p>\n<p>\u7136\u800c\uff0c\u9c81\u83f2\u5c3c\u6cd5\u5219\u4e0d\u4ec5\u4ec5\u7528\u4e8e\u591a\u9879\u5f0f\u9664\u6cd5\uff0c\u5b83\u8fd8\u6709\u8bb8\u591a\u5176\u4ed6\u7528\u9014\u3002\u4f8b\u5982\uff0c\u9c81\u83f2\u5c3c\u89c4\u5219\u8fd8\u7528\u4e8e\u6c42\u591a\u9879\u5f0f\u7684\u6839\u3001\u6c42\u591a\u9879\u5f0f\u7684\u6570\u503c\u3001\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u751a\u81f3\u7528\u4e8e\u6c42\u89e3\u4e09\u6b21\u6216\u66f4\u9ad8\u6b21\u7684\u65b9\u7a0b\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u5230\u5982\u4f55\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6765\u6267\u884c\u6240\u6709\u8fd9\u4e9b\u64cd\u4f5c\u3002<\/p>\n<p>\u6700\u540e\uff0c\u9c81\u83f2\u5c3c\u6cd5\u5219\u4e5f\u79f0\u4e3a\u9c81\u83f2\u5c3c\u65b9\u6cd5\u3001\u9c81\u83f2\u5c3c\u5b9a\u7406\u6216\u591a\u9879\u5f0f\u7efc\u5408\u9664\u6cd5\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-hacer-la-regla-de-Ruffini\"><\/span>\u5982\u4f55\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5982\u6211\u4eec\u6240\u770b\u5230\u7684\uff0c\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u4e3b\u8981\u7528\u9014\u662f\u7528\u591a\u9879\u5f0f\u9664\u4ee5\u4e8c\u9879\u5f0f\uff0c\u4e5f\u5c31\u662f\u8bf4\u8fdb\u884c\u4ee5\u4e0b\u7c7b\u578b\u7684\u9664\u6cd5\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-8f756f162243a5fda836b6ed403b955e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^3+4x^2-2x+1\\right) : \\left(x-1\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"220\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u8bf7\u6ce8\u610f\uff0c\u8981\u4f7f\u7528 Ruffini \u89c4\u5219<strong>\uff0c\u9664\u6cd5\u591a\u9879\u5f0f\u5fc5\u987b\u59cb\u7ec8\u7531<em>x<\/em><\/strong> \uff08\u7cfb\u6570\u7b49\u4e8e 1\uff09<strong>\u548c\u6570\u5b57<\/strong>\uff08\u6b63\u6570\u6216\u8d1f\u6570\uff09\u6784\u6210\uff0c\u5426\u5219\u65e0\u6cd5\u4f7f\u7528 Ruffini \u7b97\u6cd5\u3002<\/p>\n<p>\u8981\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\uff0c\u5fc5\u987b\u9075\u5faa\u4e00\u4e2a\u5b8c\u6574\u7684\u8fc7\u7a0b\uff0c\u6240\u4ee5\u4e0b\u9762\u6211\u4eec\u5c06\u9010\u6b65\u89e3\u51b3\u4e00\u4e2a\u4f8b\u5b50\uff0c\u770b\u770b\u9c81\u83f2\u5c3c\u89c4\u5219\uff08\u6216\u9c81\u83f2\u5c3c\u65b9\u6cd5\uff09\u662f\u5982\u4f55\u5e94\u7528\u7684\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-de-la-Regla-de-Ruffini\"><\/span>\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u4f7f\u7528\u9c81\u83f2\u5c3c\u6cd5\u5219\u6c42\u89e3\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\uff1a<\/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-06e6c1f6bb5c0279642446a077bd1152_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^3+3x^2-1\\right) : \\left(x-2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"179\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u9996\u5148\uff0c\u4f60\u9700\u8981\u753b\u4e24\u6761\u4e92\u76f8\u76f8\u4ea4\u7684\u5782\u76f4\u7ebf\uff0c\u7136\u540e\u6309\u5982\u4e0b\u65b9\u5f0f\u653e\u7f6e\u88ab\u9664\u6570\u548c\u9664\u6570\uff1a <\/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\/regle-ou-methode-de-ruffini.png\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219\u6216\u65b9\u6cd5\" class=\"wp-image-838\" width=\"344\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u9664\u6570\u591a\u9879\u5f0f\u7684\u7cfb\u6570\u653e\u5728\u9876\u90e8\uff0c\u4ece\u6700\u9ad8\u6b21\u5230\u6700\u4f4e\u6b21\u6392\u5e8f\uff0c\u5e76\u4e14\u6211\u4eec\u5c06\u9664\u6570\u591a\u9879\u5f0f\u7684\u72ec\u7acb\u9879\u653e\u5728\u6846\u7684\u5de6\u4fa7<strong>\uff0c\u5e76\u66f4\u6539\u7b26\u53f7<\/strong>\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#fffde7\"><strong>\u8b66\u544a\uff1a<\/strong>\u5982\u679c\u88ab\u9664\u6570\u591a\u9879\u5f0f\u6ca1\u6709\u4e00\u5b9a\u6b21\u6570\u7684\u9879\uff08\u4e0d\u5b8c\u5168\u591a\u9879\u5f0f\uff09\uff0c\u5219\u5728\u5176\u4f4d\u7f6e\u4e0a\u653e\u7f6e 0\u3002\u4f8b\u5982\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\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-0e9788fd61f2dc352d82c23ad25f80f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+3x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\"><\/p>\n<p>\u5b83\u6ca1\u6709 1 \u6b21\u5355\u9879\u5f0f\uff0c\u6240\u4ee5\u6211\u4eec\u5728\u5b83\u7684\u4f4d\u7f6e\u653e\u4e00\u4e2a 0\u3002 <\/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\/ruffini-regle-en-ligne.png\" alt=\"\u9c81\u83f2\u5c3c\u5c3a\u5b50\u5728\u7ebf\" class=\"wp-image-841\" width=\"307\" height=\"201\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4e00\u65e6\u6211\u4eec\u5b9a\u4f4d\u4e86\u8fd0\u7b97\u4e2d\u6d89\u53ca\u7684\u591a\u9879\u5f0f\uff0c\u6211\u4eec\u5c06\u7b2c\u4e00\u4e2a\u6570\u5b57\u76f4\u63a5\u964d\u4f4e\u5230\u4e0b\u9762\u7684\u884c\uff1a <\/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\/regle-ou-methode-de-ruffini-pour-diviser-les-polynomes.png\" alt=\"\u9c81\u83f2\u5c3c\u591a\u9879\u5f0f\u9664\u6cd5\u89c4\u5219\u6216\u65b9\u6cd5\" class=\"wp-image-845\" width=\"307\" height=\"154\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u73b0\u5728\u662f\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u7279\u5f81\u6b65\u9aa4\uff1a<strong>\u6211\u4eec\u5c06\u4e0b\u9762\u7684\u6570\u5b57\u4e58\u4ee5\u5de6\u8fb9\u7684\u6570\u5b57\uff0c\u5e76\u5c06\u7ed3\u679c\u653e\u5728\u4ee5\u4e0b\u5217\u4e2d<\/strong>\uff1a <\/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\/regle-ou-ruffini-methode-pas-a-pas.png\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219\u6216\u65b9\u6cd5\u4e00\u6b65\u4e00\u6b65\" class=\"wp-image-846\" width=\"319\" height=\"157\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u5c06\u5217\u4e2d\u7684\u6570\u5b57\u76f8\u52a0\uff0c\u5c06\u603b\u548c\u7684\u7ed3\u679c\u653e\u5728\u4e0b\u9762\uff1a <\/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\/regle-de-division-ou-ruffini-synthetique.jpg\" alt=\"\u7efc\u5408\u9664\u6cd5\u6216\u9c81\u83f2\u5c3c\u89c4\u5219\" class=\"wp-image-848\" width=\"300\" height=\"157\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u9c81\u83f2\u5c3c\u7684\u65b9\u6cd5\u6d89\u53ca\u91cd\u590d\u8fd9\u4e2a\u8fc7\u7a0b\u3002\u6240\u4ee5\u6211\u4eec\u518d\u6b21\u505a\u540c\u6837\u7684\u4e8b\u60c5\uff1a\u6211\u4eec\u5c06\u5e95\u90e8\u7684\u6570\u5b57\u4e58\u4ee5\u5de6\u8fb9\u7684\u6570\u5b57\uff0c\u6211\u4eec\u5c06\u7ed3\u679c\u653e\u5165\u4e0b\u4e00\u5217\uff0c\u6700\u540e\uff0c\u6211\u4eec\u6dfb\u52a0\u5782\u76f4\u5bf9\u9f50\u7684\u6570\u5b57\uff1a <\/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\/quelle-est-la-regle-de-ruffini.png\" alt=\"\u9c81\u83f2\u5c3c\u6cd5\u5219\u662f\u4ec0\u4e48\" class=\"wp-image-855\" width=\"298\" height=\"150\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u4f9d\u6b21\u91cd\u590d\u76f8\u540c\u7684\u8fc7\u7a0b\uff0c\u76f4\u5230\u7ed3\u675f\u3002\u6211\u4eec\u9996\u5148\u5c06\u4e0b\u9762\u7684\u6570\u5b57\u4e0e\u5de6\u8fb9\u7684\u6570\u5b57\u76f8\u4e58\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u653e\u5165\u4e0b\u4e00\u5217\uff0c\u6700\u540e\u5c06\u540c\u4e00\u5217\u4e2d\u7684\u6570\u5b57\u76f8\u52a0\uff1a <\/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\/division-de-polynomes-regle-de-ruffini.png\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u9c81\u83f2\u5c3c\u89c4\u5219\" class=\"wp-image-859\" width=\"302\" height=\"152\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u5f53\u6211\u4eec\u586b\u6ee1\u6240\u6709\u5217\u65f6\uff0c\u8fd9\u610f\u5473\u7740\u6211\u4eec\u5b8c\u6210\u4e86\u591a\u9879\u5f0f\u9664\u6cd5\u3002 <\/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\/regle-ou-methode-de-ruffini-pour-la-division-de-polynomes.png\" alt=\"\u9c81\u83f2\u5c3c\u591a\u9879\u5f0f\u9664\u6cd5\u89c4\u5219\u6216\u65b9\u6cd5\" class=\"wp-image-860\" width=\"310\" height=\"169\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6240\u4ee5\u4f60\u53ea\u9700\u8981\u627e\u5230\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\uff1a<\/p>\n<ul>\n<li>\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684<strong>\u4f59\u6570<\/strong>\u662f\u4e0b\u9762\u4e00\u884c\u4e2d\u7684\u6700\u540e\u4e00\u4e2a\u6570\u5b57\uff0c\u56e0\u6b64\u5728\u6211\u4eec\u7684\u4f8b\u5b50\u4e2d\uff0c\u4f59\u6570\u7b49\u4e8e 19\u3002\u4f59\u6570\u901a\u5e38\u901a\u8fc7\u5728\u5de6\u4fa7\u653e\u7f6e\u4e00\u4e2a\u6a2a\u6761\u548c\u5728\u6240\u8ff0\u6570\u5b57\u4e0b\u65b9\u653e\u7f6e\u53e6\u4e00\u4e2a\u6a2a\u6761\u6765\u6307\u793a\u3002<\/li>\n<li>\u591a\u9879\u5f0f\u9664\u6cd5\u7684<strong>\u5546<\/strong>\u7531\u5f97\u5230\u7684\u5176\u4ed6\u503c\u51b3\u5b9a\uff0c\u8fd9\u4e9b\u503c\u662f\u591a\u9879\u5f0f\u5546\u7684\u7cfb\u6570\u3002\u53f3\u8d77\u7b2c\u4e00\u4f4d\u6570\u5b57\u5bf9\u5e940\u7ea7\u9879\u7684\u7cfb\u6570\uff0c\u4e0b\u4e00\u4f4d\u6570\u5b57\u5bf9\u5e941\u7ea7\u9879\u7684\u7cfb\u6570\uff0c\u518d\u4e0b\u4e00\u4f4d\u5bf9\u5e942\u7ea7\u9879\u7684\u7cfb\u6570\uff0c\u518d\u4e0b\u4e00\u4f4d\u5bf9\u5e943\u7ea7\u9879\u7684\u7cfb\u6570\uff0c\u2026\u2026\u4ee5\u6b64\u7c7b\u63a8\uff0c\u76f4\u5230\u6700\u540e\u3002 \u3002\u6240\u4ee5\uff1a <\/li>\n<\/ul>\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\/exemple-concret-de-la-regle-ou-de-la-methode-de-ruffini.jpg\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219\u6216\u65b9\u6cd5\u7684\u5df2\u89e3\u51b3\u793a\u4f8b\" class=\"wp-image-1384\" width=\"354\" height=\"337\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-regla-de-Ruffini\"><\/span>\u5df2\u89e3\u51b3\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0b\u9762\u60a8\u5c06\u627e\u5230\u51e0\u4e2a\u6709\u5173\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u9010\u6b65\u6c42\u89e3\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u7ec3\u4e60\u548c\u4e86\u89e3\u5982\u4f55\u4f7f\u7528\u6b64\u65b9\u6cd5\u6c42\u89e3\u591a\u9879\u5f0f\u9664\u6cd5\u3002\u6211\u4eec\u5efa\u8bae\u60a8\u5c1d\u8bd5\u6bcf\u4e2a\u7ec3\u4e60\uff0c\u7136\u540e\u901a\u8fc7\u67e5\u770b\u4fee\u6b63\u6765\u68c0\u67e5\u60a8\u662f\u5426\u6b63\u786e\u5b8c\u6210\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6267\u884c\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\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-cf5770e6590aba50bcec7e4e98e99bb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( 2x^3 +4x^2 +6x -5 \\right): \\left( x+2 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"229\" style=\"vertical-align: -7px;\"><\/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<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-la-regle-ou-methode-de-ruffini.png\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219\u6216\u65b9\u6cd5\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\" class=\"wp-image-874\" width=\"237\" height=\"152\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u5546\uff1a<\/strong><\/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-e1925ffd8ec734d64dee76f4f6d3b82e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2 +6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"57\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><strong>\u4f11\u606f\uff1a<\/strong> <\/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-0a516826583d9ebf41e251f45bc98b74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-17\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: 0px;\"><\/p>\n<\/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>\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u8ba1\u7b97\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\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-f657838caa01d7806fd14b62b936bafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-2x^3+4x-3\\right):\\left(x-3\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"194\" style=\"vertical-align: -7px;\"><\/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\u7279\u6b8a\u60c5\u51b5\u4e0b\uff0c\u88ab\u9664\u6570\u591a\u9879\u5f0f\u6ca1\u6709\u4e8c\u6b21\u9879\uff0c\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u5728\u5176\u4f4d\u7f6e\u4e0a\u52a0\u96f6\uff1a <\/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\/calculatrice-en-ligne-regle-ou-methode-de-ruffini.jpg\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219\u6216\u65b9\u6cd5\uff0c\u5728\u7ebf\u8ba1\u7b97\u5668\" class=\"wp-image-880\" width=\"292\" height=\"155\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u5546\uff1a<\/strong><\/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-175d9f9aecc9a6c29730ca8f7b000d09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x^2 -6x-14\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"120\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><strong>\u4f11\u606f\uff1a<\/strong> <\/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-5efc88a25eac99bdddb5f279a9640b88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-45\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<\/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>\u6309\u9c81\u83f2\u5c3c\u6cd5\u5219\u6c42\u4e0b\u5217\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u7ed3\u679c\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-6c11ef153ce19a6c7f9a4199e3815d78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( 3x^4+2x^3-4x^2-5x+4 \\right) : \\left(x+1 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"277\" style=\"vertical-align: -7px;\"><\/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<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-calculer-une-division-de-polynomes-avec-la-regle-ou-la-methode-de-ruffini.png\" alt=\"\u5982\u4f55\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6216\u65b9\u6cd5\u8ba1\u7b97\u591a\u9879\u5f0f\u9664\u6cd5\" class=\"wp-image-882\" width=\"361\" height=\"167\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u7efc\u4e0a\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\u4e3a\uff1a<\/p>\n<p class=\"has-text-align-center\"><strong>\u5546\uff1a<\/strong><\/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-181d2b2d6a06305a301c8cbb6e18f950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^3-x^2-3x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><strong>\u4f11\u606f\uff1a<\/strong> <\/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-b5c3e12330dabaeec7413281aba0f134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\u51fa\u672a\u77e5<em>m<\/em>\u7684\u503c\uff0c\u4f7f\u5f97\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f59\u6570\u7b49\u4e8e 5\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-600c3fb062e51747af8484ef14f6d2b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( x^3+4x^2-3x+m \\right): \\left(x-1\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"227\" style=\"vertical-align: -7px;\"><\/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\">\u7531\u4e8e\u9664\u6570\u7684\u5f62\u5f0f\u4e3a<em>(xr)<\/em>\u6216<em>(x+r)\uff0c<\/em>\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6765\u89e3\u51b3\u9664\u6cd5\u95ee\u9898\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u901a\u8fc7\u62d6\u52a8\u672a\u77e5\u7684 m \u6765\u5e94\u7528 Ruffini \u7684\u65b9\u6cd5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5c06\u5f97\u5230\u7684\u4f59\u6570\u7b49\u4e8e 5\uff0c\u56e0\u4e3a\u4f59\u6570\u5fc5\u987b\u662f 5\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-a9f1990174dc5e2ccf34b980620f921e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m+2=5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"78\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u65b9\u7a0b\u6765\u627e\u5230\u53c2\u6570<em>m<\/em>\u7684\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-9b988d380cf95d44dc1d6865bbc6cc34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=5-2\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"78\" 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-feb990750e8aad27a16af81f00e5e973_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{m=3}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u5f53\u53d8\u91cf<em>m<\/em>\u7b49\u4e8e 3 \u65f6\uff0c\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f59\u6570\u5c06\u7b49\u4e8e 5\u3002<\/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>\u786e\u5b9a\u53c2\u6570<em>m<\/em>\u7684\u503c\uff0c\u4f7f\u5f97\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f59\u6570\u4e3a 3\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-ce74ef5a9d32cc72dfdfd6de3aa50109_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( x^3-x^2+mx+7 \\right): \\left(x+1\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"218\" style=\"vertical-align: -7px;\"><\/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\">\u7531\u4e8e\u9664\u6570\u7684\u5f62\u5f0f\u4e3a<em>(xr)<\/em>\u6216<em>(x+r)\uff0c<\/em>\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6765\u89e3\u51b3\u9664\u6cd5\u95ee\u9898\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u901a\u8fc7\u62d6\u52a8\u672a\u77e5\u7684 m \u6765\u4f7f\u7528 Ruffini \u7684\u65b9\u6cd5\uff1a <\/p>\n<div class=\"wp-block-columns are-vertically-aligned-top is-layout-flex wp-container-9\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"481\" height=\"224\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image.png\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219 4 \u5176\u4e2d\" class=\"wp-image-891\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow\">\n<p class=\"has-text-align-left\">\u5728\u6700\u540e\u4e00\u6b21\u4e58\u6cd5\u4e2d\u8bb0\u4f4f\u5206\u914d\u5f8b\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-e9d19c11957db46050eeaacf1ca1fd53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1\\cdot(2+m)=-2-m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u53e6\u4e00\u65b9\u9762\uff0c\u9664\u6cd5\u4f59\u6570\u7684\u8ba1\u7b97\u4e3a\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-90c48d796b84fd10879c3672b48ace30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7 + (-2-m)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" 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-e784f198219ef43bb04348e0d3a2162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7 -2 - m\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"76\" 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-435b4c8e982d00a3d58d4442cc4f06df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5 -m\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"46\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5c06\u7ed3\u679c\u4f59\u6570\u8868\u8fbe\u5f0f\u7b49\u4e8e 3\uff0c\u56e0\u4e3a\u9664\u6cd5\u7684\u4f59\u6570\u5fc5\u987b\u7b49\u4e8e 3\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-365c2a9e23f9259a2bc7efa41b1f63b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5 - m = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"79\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\u4ee5\u786e\u5b9a\u53c2\u6570<em>m<\/em>\u7684\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-bf177546e2f8c87307d4b2878dccff9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-m=3-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"91\" 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-a7dcb61def58a665df13206021f73744_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-m=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"74\" 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-f0489d23a61f42a52a520b60aaac37c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m= \\cfrac{-2}{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"72\" style=\"vertical-align: -12px;\"><\/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-c6131be0d4179ce40bd678c77238c2eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{m=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c <em>m<\/em>\u5fc5\u987b\u7b49\u4e8e 2\uff0c\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f59\u6570\u624d\u7b49\u4e8e 3\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mas-aplicaciones-de-la-regla-de-Ruffini\"><\/span>\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u66f4\u591a\u5e94\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5982\u6240\u89e3\u91ca\u7684\uff0c\u9c81\u83f2\u5c3c\u89c4\u5219\u4e3b\u8981\u7528\u4e8e\u6267\u884c\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u9664\u6cd5\u3002\u7136\u800c\uff0c\u9c81\u83f2\u5c3c\u89c4\u5219\u4e5f\u7528\u4e8e\u6267\u884c\u5176\u4ed6\u8ba1\u7b97\uff0c\u6211\u4eec\u5c06\u5728\u4e0b\u9762\u770b\u5230\u5b83\u4eec\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Raices-de-un-polinomio\"><\/span>\u591a\u9879\u5f0f\u7684\u6839<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u53ef\u4ee5\u8f7b\u677e\u786e\u5b9a\u591a\u9879\u5f0f\u7684\u6839\u3002\u5982\u679c\u4f60\u4e0d\u77e5\u9053\u591a\u9879\u5f0f\u7684\u6839\u662f\u4ec0\u4e48\uff0c\u8ba9\u6211\u4eec\u56de\u987e\u4e00\u4e0b\u5b83\u7684\u5b9a\u4e49\uff1a<\/p>\n<p><strong>\u591a\u9879\u5f0f\u7684\u6839\uff08\u6216\u96f6\u70b9\uff09<\/strong>\u662f\u53d6\u6d88\u591a\u9879\u5f0f\u7684\u503c\u3002\u6216\u8005\u6362\u53e5\u8bdd\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<\/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-b1c38c44fb886a683ab2d8711e79ef1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(a) = 0 \\quad \\color{red}\\bm{\\longrightarrow} \\color{black}\\quad a \\text{ es una ra\\'iz de } P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u7531\u4e8e<strong>\u4f59\u6570\u5b9a\u7406<\/strong>\uff0c\u6211\u4eec\u77e5\u9053\u5982\u679c\u7ed9\u5b9a\u503c\u7684\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-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u96f6\uff0c\u5fc5\u7136\u662f\u6240\u8ff0\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f59\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f629cb3501652d3b8e4d6a30d92b5d4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5b83\u4e5f\u5fc5\u987b\u662f 0\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-0f756f750f64e4e488766b5de00a84e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(a) = 0 \\quad \\color{red}\\bm{\\longrightarrow}\\quad \\color{black} \\text{resto de } P(x):(x-a) \\text{ es } 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"410\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u56e0\u6b64\uff0c\u5982\u679c\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6765\u9664\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-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>\u53e6\u4e00\u4e2a\u5f62\u5f0f\u7684\u591a\u9879\u5f0f\u4e4b\u95f4<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f629cb3501652d3b8e4d6a30d92b5d4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u6211\u4eec\u5f97\u5230\u4f59\u6570\u7b49\u4e8e 0\uff0c\u8fd9\u610f\u5473\u7740<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" 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-0f6500c41747705211eacbfc8d05aba4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\uff0c\u6211\u4eec\u4e00\u5b9a\u4f1a\u66f4\u597d\u7406\u89e3\uff1a<\/p>\n<ul>\n<li>\u68c0\u67e5\u662f\u5426\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" 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-c85f3d8dd4baec0868796b4055b23c34_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=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u8981\u68c0\u67e5\u7ed9\u5b9a\u503c\u662f\u5426\u662f\u591a\u9879\u5f0f\u7684\u6839\uff0c\u53ea\u9700\u5bf9\u6240\u8ff0\u591a\u9879\u5f0f\u548c\u6240\u8ff0\u503c\u5e94\u7528 Ruffini \u65b9\u6cd5\uff1a <\/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\/regle-de-ruffini-racine-d-un-polynome.jpg\" alt=\"\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6c42\u591a\u9879\u5f0f\u7684\u6839\" class=\"wp-image-1107\" width=\"272\" height=\"144\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u7531\u4e8e\u9c81\u83f2\u5c3c\u89c4\u5219\u83b7\u5f97\u7684\u4f59\u6570\u7b49\u4e8e\u96f6\uff0c\u8fd9\u610f\u5473\u7740\u5b9e\u9645\u4e0a<\/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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" 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-0f6500c41747705211eacbfc8d05aba4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-polinomios\"><\/span>\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u9c81\u83f2\u5c3c\u6cd5\u5219\u662f\u901a\u5e38\u5e94\u7528\u4e8e\u9636\u4e58\u591a\u9879\u5f0f\u7684\u65b9\u6cd5\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u8ba9\u4f60\u5feb\u901f\u77e5\u9053 3\u30014\u30015 \u7b49\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u4f7f\u7528 Ruffini \u7b97\u6cd5\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff1a<\/p>\n<ul>\n<li>\u5bf9\u4ee5\u4e0b\u4e09\u6b21\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff1a<\/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-e1ff84bf3e62bf35311315d029b39d0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-2x^2-5x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u9996\u5148\u8981\u505a\u7684\u662f\u627e\u5230\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u3002\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u662f\u72ec\u7acb\u9879\u7684\u7ea6\u6570\uff0c\u5728\u672c\u4f8b\u4e2d\u4e3a 6\u3002\u56e0\u6b64\uff1a<\/p>\n<p class=\"has-text-align-center\">\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\uff1a+1\u3001-1\u3001+2\u3001-2\u3001+3\u3001-3\u3001+6\u3001-6<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u9700\u8981\u5c1d\u8bd5\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u5c06\u591a\u9879\u5f0f\u9664\u5728\u6bcf\u4e2a\u503c\u4e4b\u95f4\u3002\u5982\u679c\u9664\u6cd5\u4f59\u6570\u4e3a0\uff0c\u5219\u8868\u793a\u8be5\u503c\u4e3a\u591a\u9879\u5f0f\u7684\u6839\uff1b\u4f46\u662f\uff0c\u5982\u679c\u9664\u6cd5\u7684\u4f59\u6570\u4e0d\u4e3a 0\uff0c\u5219\u8be5\u503c\u4e0d\u662f\u591a\u9879\u5f0f\u7684\u6839\u3002\u56e0\u6b64\uff0c\u5728\u4ee5\u4e0b\u4e09\u79cd\u60c5\u51b5\u4e0b\uff0c\u7528\u6240\u6709\u6570\u5b57\u6d4b\u8bd5\u9c81\u83f2\u5c3c\u89c4\u5219\u53ea\u4f1a\u53d6\u6d88\u4f59\u6570\uff1a <\/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\/ruffini-regle-factorisation-polynomes.jpg\" alt=\"\u6839\u636e\u9c81\u83f2\u5c3c\u89c4\u5219\u5206\u89e3\u591a\u9879\u5f0f\" class=\"wp-image-1376\" width=\"224\" height=\"311\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u95ee\u9898\u4e2d\u591a\u9879\u5f0f\u7684\u6839\u5c31\u662f\u4f59\u6570\u6d88\u5931\u7684\u503c\uff0c\u5373\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-e061983aac7afe99eaab44ac1dedbe95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1 \\qquad x=-2 \\qquad x=3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u4e3a\u4e86\u56e0\u5f0f\u5206\u89e3\u591a\u9879\u5f0f\uff0c\u6211\u4eec\u5fc5\u987b\u8868\u8fbe\u6bcf\u4e2a\u6839<\/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>\u4ee5\u7c7b\u578b\u56e0\u5b50\u7684\u5f62\u5f0f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f629cb3501652d3b8e4d6a30d92b5d4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p>\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u6839\uff0c\u60a8\u5fc5\u987b\u5728\u62ec\u53f7\u4e2d\u6dfb\u52a0\u4e00\u4e2a<\/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\u627e\u5230\u7684\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-cb2dc63e43f15468798451c64e31f828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(x)=(x-1)(x+2)(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"224\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u6211\u4eec\u5df2\u7ecf\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6210\u529f\u5730\u5c06\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u3002\u7136\u800c\uff0c\u60a8\u53ef\u80fd\u5bf9\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u6709\u7591\u95ee\uff0c\u56e0\u4e3a\u5b83\u662f\u4e00\u4e2a\u975e\u5e38\u590d\u6742\u7684\u4e3b\u9898\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b<span style=\"text-decoration: underline;\">\uff0c\u60a8\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u7f51\u7ad9\uff08\u5728\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u4e2d\uff09\u641c\u7d22\u6709\u5173\u5982\u4f55\u5206\u89e3\u591a\u9879\u5f0f\u7684\u6587\u7ae0<\/span>\uff0c\u6211\u4eec\u5728\u90a3\u91cc\u8fdb\u884c\u4e86\u66f4\u8be6\u7ec6\u7684\u89e3\u91ca\uff0c\u60a8\u53ef\u4ee5\u7528\u5b83\u6765\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u4e86\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u5176\u4ed6\u65b9\u6cd5\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calcular-el-valor-numerico-de-un-polinomio\"><\/span>\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6570\u503c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5c3d\u7ba1\u770b\u8d77\u6765\u53ef\u80fd\u4ee4\u4eba\u60ca\u8bb6\uff0c\u4f46\u591a\u9879\u5f0f\u7684\u6570\u503c\u53ef\u4ee5\u901a\u8fc7\u9c81\u83f2\u5c3c\u89c4\u5219\u4f7f\u7528\u4f59\u6570\u5b9a\u7406\u6765\u786e\u5b9a\u3002<\/p>\n<p>\u4f46\u663e\u7136\uff0c\u8981\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u4f60\u9700\u8981\u77e5\u9053\u4f59\u6570\u5b9a\u7406\u3002\u5982\u679c\u4e0d\u662f\u8fd9\u6837\uff0c\u60a8\u53ef\u4ee5<span style=\"text-decoration: underline;\">\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u641c\u7d22\u4f59\u6570\u5b9a\u7406\u7684\u89e3\u91ca\uff08\u5728\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u4e2d\uff09<\/span> \u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u501f\u52a9\u4f59\u6570\u5b9a\u7406\uff0c\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u4efb\u4f55\u591a\u9879\u5f0f\u7684\u6570\u503c\u3002\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u505a\u5230\u8fd9\u4e00\u70b9\uff1a<\/p>\n<ul>\n<li>\u8ba1\u7b97\u6570\u503c\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>\u4e3a\u4e86<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\uff0c\u6709<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-88b5f4de8878660d9d62ec3c8d480700_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-0916c382fe0e401316a3a4100a3e810a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-4x^2+2x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u67e5\u627e\u8be5\u503c\u7684\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-1e211b3d19a6898a4c9192f117c1fe08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"47\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u6211\u4eec\u552f\u4e00\u9700\u8981\u505a\u7684\u5c31\u662f\u5c06\u9c81\u83f2\u5c3c\u89c4\u5219\u4e0e\u591a\u9879\u5f0f\u548c\u6240\u8ff0\u503c\u4e00\u8d77\u4f7f\u7528\uff1a <\/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\/trouver-la-valeur-numerique-d-un-polynome-avec-la-regle-de-ruffini.jpg\" alt=\"\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6c42\u591a\u9879\u5f0f\u7684\u6570\u503c\" class=\"wp-image-1386\" width=\"232\" height=\"143\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6240\u4ee5\uff0c\u6839\u636e\u4f59\u6570\u5b9a\u7406\uff0c\u6211\u4eec\u77e5\u9053<strong>\u591a\u9879\u5f0f\u7684\u6570\u503c\u4e0e\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f59\u6570\u4e00\u81f4<\/strong>\u3002\u56e0\u6b64\uff0c\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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f-9\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-e4a81e89bc9c0b096ce91dfc8df45ad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(2)=-9}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u6570\u503c\u8ba1\u7b97\u6765\u9a8c\u8bc1\u9c81\u83f2\u5c3c\u89c4\u5219\u662f\u5426\u6b63\u786e\u5e94\u7528\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-c935b3276a3915dbdf93755851ef28e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(2) &amp;= 2^3-4\\cdot 2^2+2\\cdot 2-5\\\\[2ex] &amp;= 8-4\\cdot 4+2\\cdot 2-5 \\\\[2ex] &amp; = 8-16+4-5 \\\\[2ex] &amp; =\\bm{-9} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Resolver-ecuaciones-de-tercer-grado-o-superior\"><\/span>\u6c42\u89e3\u4e09\u6b21\u6216\u66f4\u9ad8\u6b21\u65b9\u7a0b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u9c81\u83f2\u5c3c\u89c4\u5219\u7684\u53e6\u4e00\u4e2a\u5e94\u7528\u662f\u6c42\u89e3\u5927\u4e8e 2 \u6b21\u7684\u65b9\u7a0b\uff0c\u56e0\u4e3a\u5728\u8fd9\u4e9b\u60c5\u51b5\u4e0b\u6ca1\u6709\u4e8c\u6b21\u65b9\u7a0b\u4e2d\u7684\u516c\u5f0f\u3002\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u505a\u5230\u8fd9\u4e00\u70b9\uff1a<\/p>\n<ul>\n<li>\u4f7f\u7528\u9c81\u83f2\u5c3c\u6cd5\u5219\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\uff1a<\/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-fedb25d47771c272977568396bbf1a59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-6x^2-9x+14 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"179\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u5c06\u65b9\u7a0b\u89c6\u4e3a\u591a\u9879\u5f0f\u3002\u7136\u540e\uff0c<strong>\u6211\u4eec\u5fc5\u987b\u5229\u7528\u9c81\u83f2\u5c3c\u6cd5\u5219\u8ba1\u7b97\u5c3d\u53ef\u80fd\u591a\u7684\u201c\u591a\u9879\u5f0f\u201d\u7684\u6839\uff0c\u76f4\u5230\u5f97\u5230\u4e8c\u9636\u65b9\u7a0b<\/strong>\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5b83\u662f\u4e00\u4e2a 3 \u6b21\u65b9\u7a0b\uff0c\u56e0\u6b64\u8db3\u4ee5\u786e\u5b9a\u201c\u591a\u9879\u5f0f\u201d\u7684\u6839\uff1a <\/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\/ruffini-rule-susi-enseignant.jpg\" alt=\"\u9c81\u83f2\u5c3c\u89c4\u5219\u82cf\u897f\u6559\u6388\" class=\"wp-image-1390\" width=\"232\" height=\"140\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\u65b9\u7a0b\u7684\u89e3\u5c06\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-29163feacef7bfd88b9b5d136f8fef91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u90a3\u4e48\uff0c\u8981\u627e\u5230\u5176\u4ed6\u89e3\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u9c81\u83f2\u5c3c\u89c4\u5219\u6240\u5f97\u7684\u591a\u9879\u5f0f\u7684\u5546\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-4ee4ae024a064e405720e8db168c47da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-5x-14 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"131\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u7528\u76f8\u5e94\u7684\u516c\u5f0f\u6c42\u89e3\u6240\u5f97\u7684\u4e8c\u6b21\u65b9\u7a0b\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-982cd2e82d8511ceb1f93648c3ee61df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/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-4545f65a7516c60fcfc28543d2603ddf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\cfrac{-(-5) \\pm \\sqrt{(-5)^2-4\\cdot 1\\cdot (-14)}}{2\\cdot 1}= \\cfrac{+5\\pm \\sqrt{25+56}}{2} = \\cfrac{5 \\pm\\sqrt{81}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"527\" style=\"vertical-align: -12px;\"><\/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-a57aa9f04a1053566c6a53b65afa008a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x = \\cfrac{5 \\pm 9}{2} = \\begin{cases}  \\cfrac{5+9}{2} = \\cfrac{14}{2} = 7 \\\\[4ex]\\cfrac{5-9}{2} = \\cfrac{-4}{2} = -2 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"258\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u4e09\u6b21\u65b9\u7a0b\u76843\u4e2a\u89e3\u4e3a\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-55637c16bd7d5bcb1d778c5fb41eecd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1 \\qquad x=7 \\qquad x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"212\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5e94\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u6765\u9664\u591a\u9879\u5f0f\u3002\u9664\u4e86\u89e3\u91ca\u4e4b\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u4f7f\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u9664\u6cd5\u7684 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e8%a7%84%e5%88%99%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%a4%ba%e4%be%8b%e9%b2%81%e8%8f%b2%e5%b0%bc%e7%bb%83%e4%b9%a0\/\"> <span class=\"screen-reader-text\">\u9c81\u83f2\u5c3c\u591a\u9879\u5f0f\u9664\u6cd5\u89c4\u5219\uff08\u6216\u65b9\u6cd5\uff09<\/span> \u67e5\u770b\u5168\u6587 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