{"id":98,"date":"2023-07-17T06:09:40","date_gmt":"2023-07-17T06:09:40","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e9%98%b6%e4%b9%98%e5%a4%9a%e9%a1%b9%e5%bc%8f\/"},"modified":"2023-07-17T06:09:40","modified_gmt":"2023-07-17T06:09:40","slug":"%e9%98%b6%e4%b9%98%e5%a4%9a%e9%a1%b9%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e9%98%b6%e4%b9%98%e5%a4%9a%e9%a1%b9%e5%bc%8f\/","title":{"rendered":"\u5982\u4f55\u56e0\u5f0f\u5206\u89e3\u591a\u9879\u5f0f"},"content":{"rendered":"<p><strong>\u4ec0\u4e48\u662f\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1f<\/strong>\u5b83\u662f\u4e00\u79cd\u6570\u5b66\u6280\u672f\uff0c\u53ef\u8ba9\u60a8\u5c06<a href=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u591a\u9879\u5f0f<\/a>\u5206\u89e3\u4e3a\u66f4\u7b80\u5355\u7684\u56e0\u5b50\u6216\u8868\u8fbe\u5f0f\u3002\u7531\u4e8e\u8fd9\u79cd\u7b80\u5316\uff0c\u6211\u4eec\u5c06\u80fd\u591f\u66f4\u8f7b\u677e\u3001\u66f4\u8212\u9002\u5730\u5728\u591a\u4e2a\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e4b\u95f4\u6267\u884c\u8fd0\u7b97\u3002\u56e0\u6b64\uff0c\u5728\u6574\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u7684\u4e0d\u540c\u65b9\u6cd5\u4ee5\u53ca\u56e0\u5f0f\u5206\u89e3\u7684\u6240\u6709\u53ef\u80fd\u60c5\u51b5\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"como-factorizar-un-polinomio\"><span id=\"Como_factorizar_un_polinomio\">\u5982\u4f55\u56e0\u5f0f\u5206\u89e3\u591a\u9879\u5f0f\uff1f<\/span><\/h2>\n<p>\u6709\u8bb8\u591a<strong>\u5206\u89e3\u65b9\u6cd5<\/strong>\u90fd\u6709\u81ea\u5df1\u7684\u89e3\u51b3\u65b9\u6848\u7ed3\u6784\uff0c\u4f46\u6700\u7ec8\u4f9d\u8d56\u4e8e\u76f8\u540c\u7684\u4e1c\u897f\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u627e\u5230\u6709\u5173\u591a\u9879\u5f0f\u914d\u7f6e\u7684\u5404\u79cd\u6848\u4f8b\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5728\u4e0b\u9762\u7684\u90e8\u5206\u4e2d\u6211\u4eec\u5c06\u8ba8\u8bba\u6240\u6709\u73b0\u6709\u7684\u8fc7\u7a0b\u4ee5\u53ca\u4f55\u65f6\u4f7f\u7528\u5b83\u4eec\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u628a\u5b83\u5e94\u7528\u5230\u4e00\u4e2a\u771f\u5b9e\u7684\u4f8b\u5b50\u4e2d\uff0c\u4ee5\u4fbf\u4f60\u5b8c\u6210\u6982\u5ff5\u7684\u638c\u63e1\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"factorizar-un-polinomio-con-la-regla-de-ruffini\"><span id=\"Factorizar_un_polinomio_con_la_regla_de_Ruffini\">\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u5206\u89e3\u591a\u9879\u5f0f<\/span><\/h2>\n<p>\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u662f<a href=\"https:\/\/mathority.org\/cn\/\u9c81\u83f2\u5c3c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u9c81\u83f2\u5c3c\u6cd5\u5219<\/a>\uff0c\u56e0\u4e3a\u5b83\u6613\u4e8e\u4f7f\u7528\u5e76\u4e14\u53ef\u4ee5\u5feb\u901f\u627e\u5230\u7ed3\u679c\u3002\u6b63\u5e38\u7684\u60c5\u51b5\u662f\u4f7f\u7528\u6b64\u6280\u672f\u5bf9\u5927\u4e8e\u4e8c\u9636\u7684\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u6709\u65f6\u751a\u81f3\u5bf9\u4e8c\u9636\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u56e0\u4e3a\u5b83\u5141\u8bb8\u60a8\u4ee5\u56fe\u5f62\u65b9\u5f0f<strong>\u83b7\u5f97\u8be5\u591a\u9879\u5f0f\u7684\u6839<\/strong>\u3002\u5c3d\u7ba1\u8fd9\u79cd\u7528\u6cd5\u5c06\u5728\u4e0b\u4e00\u8282\u4e2d\u89e3\u91ca\uff0c\u4f46\u91cd\u70b9\u662f\u8fd9\u79cd\u7c7b\u578b\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u7684\u6839\u6e90\u3002 <\/p>\n<div class=\"wp-block-media-text alignwide is-stacked-on-mobile\" style=\"grid-template-columns:36% auto\">\n<figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"732\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-le-polynome-avec-ruffini.webp\" data-src=\"\" alt=\"\u4f7f\u7528 Ruffini \u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\" class=\"wp-image-5364 size-full lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Factorizar-polinomio-con-Ruffini.png 291w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Factorizar-polinomio-con-Ruffini-199x500.png 199w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<div class=\"wp-block-media-text__content\">\n<h3 class=\"wp-block-heading\" id=\"como-hacer-ruffini-para-factorizar-polinomios\">\u5982\u4f55\u8fdb\u884c Ruffini \u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1f<\/h3>\n<p>\u57fa\u672c\u4e0a\uff0c\u6211\u4eec\u5fc5\u987b\u5c06<strong>\u88ab\u9664\u6570\u7684\u7cfb\u6570\u5199<\/strong>\u5728\u6c34\u5e73\u7ebf\u4e0a\uff0c\u5e76\u5c06\u591a\u9879\u5f0f\u7684\u53ef\u80fd\u6839\u7684\u503c\u5199\u5728\u4e00\u8fb9\u3002\u6211\u4eec\u8bf4\u53ef\u80fd\uff0c\u56e0\u4e3a\u6211\u4eec\u5fc5\u987b\u5bfb\u627e\u4e00\u4e2a\u9664\u6570\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u83b7\u5f97\u7b49\u4e8e\u96f6\u7684\u4f59\u6570\u3002\u5426\u5219\uff0c\u8fd9\u4e2a\u6570\u5b57\u5c06\u4e0d\u662f\u6709\u6548\u7684\u6839\uff0c\u60a8\u5c06\u4e0d\u5f97\u4e0d\u7ee7\u7eed\u5c1d\u8bd5\u3002<\/p>\n<p>\u4f5c\u4e3a\u63d0\u793a\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u4ec5\u5c1d\u8bd5\u72ec\u7acb\u9879\u7684\u9664\u6570\uff08\u6c34\u5e73\u7ebf\u7684\u6700\u540e\u4e00\u4e2a\u503c\uff09\u3002\u56e0\u6b64\uff0c\u8981\u77e5\u9053\u60a8\u9009\u62e9\u7684\u6570\u5b57\u662f\u5426\u6b63\u786e\uff0c\u60a8\u53ea\u9700\u6309\u7167\u4ee5\u4e0b<strong>\u987a\u5e8f\u8fdb\u884c\u8ba1\u7b97<\/strong>\uff1a<\/p>\n<p>\u60a8\u51cf\u5c11\u7cfb\u6570\uff0c\u5c06\u5176\u4e58\u4ee5\u60a8\u6b63\u5728\u6d4b\u8bd5\u7684\u6839\uff0c\u5c06\u5176\u5199\u5728\u4e0b\u4e00\u4e2a\u7cfb\u6570\u4e0b\u65b9\uff0c\u7136\u540e\u8fdb\u884c\u5782\u76f4\u52a0\u6cd5\u3002\u60a8\u53ea\u9700\u91cd\u590d\u8fd9\u4e9b\u6b65\u9aa4\u76f4\u5230\u6700\u540e\uff0c\u5b8c\u6210\u540e\u60a8\u5c31\u4f1a\u77e5\u9053\u8be5\u503c\u662f\u5426\u6b63\u786e\u3002\u56e0\u4e3a\u53ea\u6709\u4f59\u6570\u4e3a\u96f6\u7684\u6570\u5b57\u624d\u6709\u6548\u3002<\/p>\n<p>\u5982\u679c\u60a8\u4e0d\u592a\u6e05\u695a\u9700\u8981\u9075\u5faa\u7684\u6570\u5b66\u8fc7\u7a0b\uff0c\u60a8\u53ef\u4ee5\u67e5\u770b\u672c\u6587\u5de6\u4fa7\u680f\u4e2d\u7684\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u5efa\u8bae\u5c1d\u8bd5\u5206\u89e3\u4ee5\u4e0b\u591a\u9879\u5f0f\uff1a <strong>x3 + 2&#215;2 \u2013 x \u2013 2<\/strong> \uff08\u57fa\u4e8e\u793a\u4f8b\uff09\u3002\u6700\u540e\uff0c\u8981\u77e5\u9053\u60a8\u662f\u5426\u6b63\u786e\u89e3\u51b3\u4e86\u7ec3\u4e60\uff0c\u60a8\u53ef\u4ee5\u5c06\u60a8\u7684\u7ed3\u679c\u4e0e\u6b64\u7ed3\u679c\u8fdb\u884c\u6bd4\u8f83\uff1a<\/p>\n<ul>\n<li>\u8fc7\u91cf\u8868\u8fbe = x\u00b2 + 3x + 2<\/li>\n<li>\u4f59\u6570 = 0<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<p>\u4e0b\u9762\u6211\u4eec\u5c31<strong>Ruffini\u5728\u56e0\u5f0f\u5206\u89e3\u4e2d\u7684\u5e94\u7528<\/strong>\u505a\u4e00\u4e2a\u7b80\u5355\u7684\u8bf4\u660e\u3002\u4e0d\u8fc7\uff0c\u5982\u679c\u60a8\u60f3\u4e86\u89e3\u5982\u4f55\u8be6\u7ec6\u4f7f\u7528\u6b64\u6570\u5b66\u8d44\u6e90\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u8bbf\u95ee\u6211\u4eec\u94fe\u63a5\u7684\u6700\u540e\u4e00\u7bc7\u6587\u7ae0\uff0c\u56e0\u4e3a\u90a3\u91cc\u5bf9\u6240\u6709\u5185\u5bb9\u90fd\u6709\u5f88\u597d\u7684\u89e3\u91ca\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8ba9\u6211\u4eec\u9996\u5148\u89e3\u91ca\u5982\u4f55\u7528\u9c81\u83f2\u5c3c\u89c4\u5219\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff1a<\/p>\n<ul>\n<li><strong>\u6211\u4eec\u7ed8\u5236\u7f51\u683c\uff1a<\/strong>\u5982\u4e0a\u56fe\u6240\u793a\uff0c\u6211\u4eec\u5c06\u521b\u5efa\u4e00\u4e2a\u76d2\u5b50\uff0c\u5728\u5176\u4e2d\u5236\u4f5c Ruffini\u3002\u57fa\u672c\u4e0a\uff0c\u60a8\u5fc5\u987b\u7f16\u5199\u6c34\u5e73\u6392\u5e8f\u7684\u8868\u8fbe\u5f0f\u7684\u7cfb\u6570\uff0c\u5e76\u4e14\u4e0d\u4fdd\u7559\u90a3\u4e9b\u5177\u6709\u96f6\u503c\u7684\u7cfb\u6570\u3002\u6700\u540e\uff0c\u60a8\u5e94\u8be5\u5f97\u5230\u4e0e\u56fe\u50cf\u4e2d\u7c7b\u4f3c\u7684\u8868\u793a\u5f62\u5f0f\uff0c\u4f46\u5177\u6709\u591a\u9879\u5f0f\u7684\u503c\u3002<\/li>\n<li><strong>\u6211\u4eec\u8ba1\u7b97\u6839\uff1a<\/strong>\u4e00\u65e6\u6211\u4eec\u753b\u51fa\u4e86\u7ed3\u6784\u5e76\u786e\u4fdd\u6240\u6709\u6570\u5b57\u90fd\u6b63\u786e\u4e66\u5199\uff0c\u6211\u4eec\u5c06\u7ee7\u7eed\u8ba1\u7b97\u6839\u3002\u60a8\u9700\u8981\u6309\u7167\u6211\u4eec\u5728\u6b64\u5217\u8868\u4e0a\u65b9\u8ba8\u8bba\u7684\u8ba1\u7b97\u987a\u5e8f\uff08\u5e26\u6709\u56fe\u7247\uff09\u6765\u627e\u5230\u6839\u3002<\/li>\n<li><strong>\u6211\u4eec\u4ee5 (x \u2013 a) \u7684\u5f62\u5f0f\u8868\u793a\u6839\uff1a<\/strong>\u5f53\u6211\u4eec\u6709\u4e86\u591a\u9879\u5f0f\u7684\u6240\u6709\u6839\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u4ee5 (x \u2013 a) \u7684\u5f62\u5f0f\u8868\u793a\u5b83\u4eec\u3002\u8003\u8651\u5230a\u662f\u6211\u4eec\u5f97\u5230\u7684\u503c\uff0c\u4f8b\u5982\u5982\u679c\u6211\u4eec\u63d0\u53d6\u7ed3\u679cx = 2\u3001x = -2\u548cx = 4\uff0c\u90a3\u4e48\u6211\u4eec\u5c06\u5f97\u5230(x \u2013 2)\u3001(x + 2)\u548c( x \u2013 4)\u3002<\/li>\n<li><strong>\u6211\u4eec\u5c06\u6240\u6709\u56e0\u5b50\u6536\u96c6\u5728\u4e00\u4e2a\u8868\u8fbe\u5f0f\u4e2d\uff1a<\/strong>\u6700\u540e\uff0c\u5f53\u6211\u4eec\u5df2\u7ecf\u6709\u4e86\u4ee5\u6b63\u786e\u683c\u5f0f\u8868\u793a\u7684\u6240\u6709\u6839\u65f6\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u5b83\u4eec\u6536\u96c6\u5728\u4e00\u4e2a\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e2d\u5373\u53ef\u3002\u7ee7\u7eed\u524d\u9762\u7684\u4f8b\u5b50\uff0c\u6211\u4eec\u4f1a\u5f97\u5230\u8fd9\u6837\u7684\u7ed3\u679c\uff1a(x \u2013 2) \u00b7 (x + 2) \u00b7 (x \u2013 4)\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"factorizar-un-polinomio-usando-las-raices-de-un-polinomio\"><span id=\"Factorizar_un_polinomio_usando_las_raices_de_un_polinomio\">\u4f7f\u7528\u591a\u9879\u5f0f\u7684\u6839\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/span><\/h2>\n<p>\u6211\u4eec\u5728\u9c81\u83f2\u5c3c\u7684\u7ae0\u8282\u4e2d\u5df2\u7ecf\u89e3\u91ca\u4e86\u4e00\u534a\u591a\u9879\u5f0f\u7684\u6839\u6982\u5ff5\u3002\u4f46\u662f\uff0c\u786e\u5207\u7684\u5b9a\u4e49\u662f\uff1a\u591a\u9879\u5f0f P(x) \u7684\u6839\u662f\u6570\u503c a\uff0c\u56e0\u6b64<strong>P(a) = 0<\/strong> \u3002\u56e0\u6b64\uff0c\u5b83\u662f\u4e00\u4e2a\u80fd\u591f\u6d88\u9664\u6240\u8ba8\u8bba\u7684\u51fd\u6570\u6216\u591a\u9879\u5f0f\u7684\u6570\u5b57\u3002\u603b\u4e4b\uff0c\u6211\u4eec\u53ef\u4ee5\u8bf4\u5b83\u7528\u4e8e\u5c06\u591a\u9879\u5f0f\u5206\u89e3\u4e3a\u56e0\u5b50\u7684\u4e58\u79ef\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u7ed9\u51fa\u4ee5\u4e0b\u8868\u8fbe\u5f0f x\u00b2 \u2212 x \u2212 2 \u5e76\u4f7f\u7528\u9c81\u83f2\u5c3c\u6cd5\u5219\u6216\u7b80\u5355\u5730\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b x\u00b2 \u2212 x \u2212 2 = 0 \u5bf9\u5176\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u6211\u4eec\u5c06\u83b7\u5f97\u4e24\u4e2a x \u503c = -1 \u548cx = 2\uff0c\u6240\u4ee5\u5982\u679c\u6211\u4eec\u5c06\u5b83\u4eec\u6539\u4e3a (x \u2013 a) \u7684\u683c\u5f0f\u5e76\u5c06\u5b83\u4eec\u653e\u5728\u4e00\u8d77\uff0c\u6211\u4eec\u5c06\u5f97\u5230\u4ee5\u4e0b\u8868\u8fbe\u5f0f\uff1a (x + 1) (x \u2212 2)\uff0c\u5373<strong>\u5206\u89e3\u591a\u9879\u5f0f<\/strong>\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u5e94\u7528\u4e8e\u6b21\u6570\u5927\u4e8e\u4e8c\u7684\u591a\u9879\u5f0f\uff0c\u5c3d\u7ba1\u8be5\u8868\u8fbe\u5f0f\u7531\u591a\u4e2a\u9879\u7ec4\u6210\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"factorizar-un-polinomio-por-extraccion-de-factor-comun\"><span id=\"Factorizar_un_polinomio_por_extraccion_de_factor_comun\">\u901a\u8fc7\u516c\u56e0\u5b50\u63d0\u53d6\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/span><\/h2>\n<p>\u5f53\u6211\u4eec\u60f3\u8981\u5bf9\u6ca1\u6709\u72ec\u7acb\u9879\u7684\u591a\u9879\u5f0f\u6216\u6240\u6709\u9879\u90fd\u6709\u516c\u56e0\u5b50\u7684\u8868\u8fbe\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u8fd9\u79cd\u6280\u672f\u6765\u7b80\u5316\u591a\u9879\u5f0f\u3002\u5b83\u57fa\u672c\u4e0a\u6d89\u53ca<strong>\u5c06\u5206\u914d\u5f8b\u5e94\u7528\u4e8e<\/strong>\u6574\u4e2a\u8868\u8fbe\u5f0f\uff0c\u5220\u9664\u91cd\u590d\u7684\u516c\u56e0\u5b50\u5e76\u901a\u8fc7\u4e58\u4ee5\u6574\u4e2a\u591a\u9879\u5f0f\u6765\u5c06\u5176\u76f8\u52a0\u3002\u4e0b\u9762\u60a8\u5c06\u627e\u5230\u6211\u4eec\u8ba8\u8bba\u7684\u7b2c\u4e00\u79cd\u60c5\u51b5\u7684\u793a\u4f8b\uff08\u6ca1\u6709\u72ec\u7acb\u9879\u7684\u591a\u9879\u5f0f\uff09\uff1a<\/p>\n<p> 2&#215;3 + 10&#215;2 \u2013 6x = 2x (x2 + 5x \u2013 3)<\/p>\n<h3 class=\"wp-block-heading\" id=\"doble-extraccion-de-factor-comun\">\u516c\u56e0\u5b50\u7684\u53cc\u91cd\u63d0\u53d6<\/h3>\n<p>\u516c\u56e0\u5b50\u63d0\u53d6\u751a\u81f3\u53ef\u4ee5\u901a\u8fc7\u63d0\u53d6\u66f4\u590d\u6742\u7684\u56e0\u7d20\uff08\u5305\u62ec\u591a\u4e2a\u53d8\u91cf\uff09\u6765\u5b8c\u6210\u3002\u60a8\u751a\u81f3\u53ef\u4ee5\u63d0\u53d6\u4ece\u4e3b\u8868\u8fbe\u5f0f\u672c\u8eab\u6d3e\u751f\u7684\u591a\u9879\u5f0f\u3002\u5f53\u60a8\u60f3\u8981\u6267\u884c\u6b64\u7c7b\u64cd\u4f5c\u65f6\uff0c\u91cd\u8981\u7684\u662f\u4e0d\u8981\u8bbe\u7f6e\u9650\u5236\uff0c\u56e0\u4e3a\u56e0\u5b50\u63d0\u53d6\u7684\u76ee\u6807\u662f<strong>\u5c3d\u53ef\u80fd\u7b80\u5316\u4ee3\u6570\u8868\u8fbe\u5f0f<\/strong>\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"factorizacion-de-polinomios-mediante-identidades-notables\"><span id=\"Factorizacion_de_polinomios_mediante_identidades_notables\">\u4f7f\u7528\u663e\u7740\u6052\u7b49\u5f0f\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/span><\/h2>\n<p><a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">\u8457\u540d\u7684\u4ea7\u54c1<\/a>\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5206\u89e3\u591a\u9879\u5f0f\u8868\u8fbe\u5f0f\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u7b80\u5316\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u5e2e\u52a9\u6211\u4eec\u76f4\u63a5\u4ece\u4e00\u4e2a\u957f\u591a\u9879\u5f0f\u8f6c\u5316\u4e3a\u4e00\u4e2a\u7531\u51e0\u4e2a\u9879\u7ec4\u6210\u7684\u5c0f\u516c\u5f0f\u3002\u56e0\u6b64\uff0c\u5f3a\u70c8\u5efa\u8bae\u5b66\u4e60<strong>\u663e\u7740\u6052\u7b49\u5f0f\u7684\u516c\u5f0f<\/strong>\uff0c\u4ee5\u4fbf\u80fd\u591f\u5feb\u901f\u8bc6\u522b\u4f55\u65f6\u53ef\u4ee5\u4f7f\u7528\u5b83\u4eec\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u8282\u7701\u4f7f\u7528 Ruffini \u6216\u4efb\u4f55\u5176\u4ed6\u65b9\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u7684\u65f6\u95f4\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd\u60a8\u9700\u8981\u5b66\u4e60\u7684\u4e09\u4e2a\u89c4\u5219\uff1a<\/p>\n<ul>\n<li><strong>\u5e73\u65b9\u5dee\uff1a<\/strong> a\u00b2 \u2013 b\u00b2 = (a + b) \u00b7 (a \u2013 b)<\/li>\n<li><strong>\u603b\u548c\u7684\u5e73\u65b9\uff1a<\/strong> a\u00b2 + 2ab + b\u00b2 = (a + b)\u00b2<\/li>\n<li><strong>\u51cf\u6cd5\u5e73\u65b9\uff1a<\/strong> a\u00b2 \u2013 2ab + b\u00b2 = (a \u2013 b)\u00b2<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"factorizacion-de-polinomios-por-agrupacion\"><span id=\"Factorizacion_de_polinomios_por_agrupacion\">\u901a\u8fc7\u5206\u7ec4\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/span><\/h2>\n<p>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u7ed3\u6784<strong>\u4e3a x\u00b2 \u2013 ax \u2013 bx + ab<\/strong>\u7684\u591a\u9879\u5f0f\uff0c\u53ef\u4ee5\u901a\u8fc7\u5220\u9664\u516c\u56e0\u5b50\u6765\u7b80\u5316\u8be5\u591a\u9879\u5f0f\uff1ax (x \u2013 a) \u2013 b (x \u2013 a)\u3002\u5982\u679c\u6211\u4eec\u518d\u53d6\u516c\u56e0\u6570\uff0c\u5219\u53ef\u4ee5\u8fdb\u4e00\u6b65\u7b80\u5316\uff1a(x \u2013 a)\u00b7(x \u2013 b)\u3002\u56e0\u6b64\uff0c\u8be5\u591a\u9879\u5f0f\u7684\u6839\u4e3a x = a \u548c x = b\u3002\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u5177\u6709\u975e\u5e38\u6613\u4e8e\u5206\u89e3\u548c\u4f7f\u7528\u7684\u7ed3\u6784\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"ejercicios-de-factorizacion-de-polinomios\"><span id=\"Ejercicios_de_factorizacion_de_polinomios\">\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\u7ec3\u4e60<\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u60f3\u4e3a\u60a8\u63d0\u4f9b<strong>\u4e00\u7cfb\u5217\u7ec3\u4e60<\/strong>\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u7ec3\u4e60\u56e0\u5f0f\u5206\u89e3\u591a\u9879\u5f0f\u3002\u8fd9\u6837\u4f60\u5c31\u80fd\u591f\u66f4\u597d\u5730\u5185\u5316\u6211\u4eec\u4eca\u5929\u89e3\u91ca\u7684\u7406\u8bba\u3002\u7b80\u800c\u8a00\u4e4b\uff0c\u60a8\u5fc5\u987b\u89e3\u51b3\u7b14\u8bb0\u672c\u4e2d\u7684\u7ec3\u4e60\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u4e0e\u6211\u4eec\u5728\u4e0b\u9762\u4e3a\u60a8\u63d0\u4f9b\u7684\u7ed3\u679c\u8fdb\u884c\u6bd4\u8f83\u3002<\/p>\n<ul>\n<li> <strong>x <sup>4<\/sup> -1 =<\/strong> (x <sup>2<\/sup> + 1) (x + 1) (x \u2013 1)<\/li>\n<li> <strong>x <sup>5<\/sup> + x <sup>4<\/sup> \u2013 x \u2013 1 =<\/strong> (x \u2013 1) (x + 1) <sup>2<\/sup> (x <sup>2<\/sup> + 1)<\/li>\n<li> <strong><strong><sup>9\u00d72<\/sup><\/strong> + 30x + 25 =<\/strong> (3x + 5) <sup>2<\/sup><\/li>\n<li> <strong>x <sup>4<\/sup> \u2013 3x <sup>3<\/sup> \u2013 3x <sup>2<\/sup> + 11x \u2013 6 =<\/strong> (x + 2) (x \u2013 3) (x \u2013 1) <sup>2<\/sup><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u4ec0\u4e48\u662f\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1f\u5b83\u662f\u4e00\u79cd\u6570\u5b66\u6280\u672f\uff0c\u53ef\u8ba9\u60a8\u5c06\u591a\u9879\u5f0f\u5206\u89e3\u4e3a\u66f4\u7b80\u5355\u7684\u56e0\u5b50\u6216\u8868\u8fbe\u5f0f\u3002\u7531\u4e8e\u8fd9\u79cd\u7b80\u5316\uff0c\u6211\u4eec\u5c06\u80fd\u591f\u66f4\u8f7b &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e9%98%b6%e4%b9%98%e5%a4%9a%e9%a1%b9%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u5982\u4f55\u56e0\u5f0f\u5206\u89e3\u591a\u9879\u5f0f<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9],"tags":[],"class_list":["post-98","post","type-post","status-publish","format-standard","hentry","category-9"],"yoast_head":"<!-- This site is optimized 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