{"id":97,"date":"2023-07-17T06:26:25","date_gmt":"2023-07-17T06:26:25","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f\/"},"modified":"2023-07-17T06:26:25","modified_gmt":"2023-07-17T06:26:25","slug":"%e5%a4%9a%e9%a1%b9%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f\/","title":{"rendered":"\u591a\u9879\u5f0f"},"content":{"rendered":"<p>\u5355\u9879\u5f0f\u662f\u7531\u53d8\u91cf\u4e58\u4ee5\u6307\u6570\u7684\u7cfb\u6570\uff08\u6570\u503c\uff09\u5f62\u6210\u7684<strong>\u4ee3\u6570\u8868\u8fbe\u5f0f<\/strong>\uff0c\u4f8b\u5982\u8868\u8fbe\u5f0f 4x\u00b2 \u5c31\u662f\u5355\u9879\u5f0f\u3002\u56e0\u6b64\uff0c\u4ece\u8fd9\u4e2a\u6570\u5b66\u6982\u5ff5\uff0c\u6211\u4eec\u5f97\u51fa\u591a\u9879\u5f0f\uff0c\u5b83\u662f\u51e0\u4e2a\u5355\u9879\u5f0f\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u7684\u96c6\u5408\u3002\u5728\u4e0a\u56fe\u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u7531\u591a\u4e2a\u5355\u9879\u5f0f\u7ec4\u6210\u7684\u591a\u9879\u5f0f\u7ed3\u6784\u7684\u793a\u4f8b\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"417\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/parties-dun-polynome.webp\" data-src=\"\" alt=\"\u591a\u9879\u5f0f\u7684\u90e8\u5206\" class=\"wp-image-5343 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio-800x417.jpg 800w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio-500x260.jpg 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio-768x400.jpg 768w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio.jpg 818w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" id=\"tipos-de-polinomios\"><span id=\"Tipos_de_polinomios\">\u591a\u9879\u5f0f\u7684\u7c7b\u578b<\/span><\/h2>\n<p>\u901a\u8fc7\u67d0\u4e2a\u5355\u9879\u5f0f\u7684\u6307\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u591a\u9879\u5f0f\u5206\u4e3a\u4e0d\u540c\u7c7b\u578b\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u8868\u8fbe\u5f0f\u5206\u4e3a\u4ee5\u4e0b\u51e0\u7c7b\uff1a\u4e00\u6b21\u591a\u9879\u5f0f\u3001\u4e8c\u6b21\u591a\u9879\u5f0f\u3001\u4e09\u6b21\u591a\u9879\u5f0f\u7b49\u3002\u57fa\u672c\u4e0a\uff0c\u60a8\u9700\u8981\u786e\u5b9a\u5177\u6709\u6700\u5927\u6307\u6570\u7684\u5355\u9879\u5f0f\uff0c\u5e76\u4e14\u8be5\u5355\u9879\u5f0f\u5c06\u662f<strong>\u591a\u9879\u5f0f \u7684\u6b21\u6570<\/strong>\u3002\u4e00\u65e6\u4f60\u4e86\u89e3\u4e86\u5b83\uff0c\u4f60\u5c31\u53ef\u4ee5\u5c06\u5b83\u5f52\u4e3a\u6211\u4eec\u521a\u624d\u8c08\u5230\u7684\u7c7b\u578b\u4e4b\u4e00\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"polinomio-de-varias-variables\">\u591a\u4e2a\u53d8\u91cf\u7684\u591a\u9879\u5f0f<\/h3>\n<p>\u6b64\u5916\uff0c\u8fd8\u6709\u53e6\u4e00\u79cd\u7ec4\u7ec7\u591a\u9879\u5f0f\u7684\u65b9\u6cd5\uff0c\u5373\u6839\u636e\u5f62\u6210\u591a\u9879\u5f0f\u7684\u5355\u9879\u5f0f\u7684\u6570\u91cf\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a<strong>\u4e8c\u9879\u5f0f<\/strong>\uff0c\u8fd9\u5c06\u76f8\u5f53\u4e8e\u6709\u4e00\u4e2a\u6709\u4e24\u9879\u7684\u591a\u9879\u5f0f\uff0c\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a<strong>\u4e09\u9879\u5f0f<\/strong>\uff0c\u8fd9\u5c06\u76f8\u5f53\u4e8e\u6709\u4e00\u4e2a\u6709\u4e09\u9879\u7684\u591a\u9879\u5f0f\uff0c\u7b49\u7b49\u3002\u6240\u6709\u8fd9\u4e9b\u591a\u9879\u5f0f\u7f16\u76ee\u65b9\u6cd5\u90fd\u6709\u65e0\u9650\u591a\u4e2a\u5b50\u7c7b\u522b\u3002\u7531\u4e8e\u8fd9\u4e9b\u8868\u8fbe\u5f0f\u53ef\u4ee5\u7531\u6211\u4eec\u60f3\u8981\u7684\u4efb\u4f55\u5355\u9879\u5f0f\u7ec4\u6210\uff0c\u5e76\u4e14\u4e5f\u53ef\u4ee5\u5177\u6709\u4efb\u4f55\u6b21\u6570\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"caracteristicas-y-propiedades-de-los-polinomios\"><span id=\"Caracteristicas_y_propiedades_de_los_polinomios\">\u591a\u9879\u5f0f\u7684\u7279\u5f81\u548c\u6027\u8d28<\/span><\/h2>\n<ul>\n<li><strong>\u591a\u9879\u5f0f\u7684\u7edd\u5bf9\u6b21\u6570\uff1a<\/strong>\u5728\u4e0a\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u8ba8\u8bba\u4e86\u76f8\u5bf9\u6b21\u6570\u7684\u5b9a\u4e49\u3002\u4f46\u5bf9\u4e8e\u7531\u591a\u4e2a\u53d8\u91cf\u5f62\u6210\u7684\u591a\u9879\u5f0f\uff0c\u6211\u4eec\u7684\u7edd\u5bf9\u6b21\u6570\u7b49\u4e8e\u8be5\u5355\u9879\u5f0f\u6240\u6709\u53d8\u91cf\u7684\u6307\u6570\u7684\u6700\u5927\u548c\u3002\u4f8b\u5982\uff0c\u5728\u5355\u9879\u5f0f 5x2y3 \u4e2d\uff0c\u7edd\u5bf9\u6b21\u6570\u7b49\u4e8e 2 + 3 = 5\u3002<\/li>\n<li><strong>\u6709\u5e8f\u591a\u9879\u5f0f\uff1a<\/strong>\u5f53\u53d8\u91cf\u7684\u6307\u6570\u6309\u5347\u5e8f\u6216\u964d\u5e8f\u6392\u5217\u65f6\uff0c\u6211\u4eec\u5b9a\u4e49\u5173\u4e8e\u8be5\u53d8\u91cf\u7684<a href=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u9636\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6709\u5e8f\u591a\u9879\u5f0f<\/a>\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u627e\u5230\u8fd9\u4e2a\u591a\u9879\u5f0f P(x) = 3x + 4&#215;3 \u2013 x2\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u5b83\u4e0d\u4f1a\u88ab\u6392\u5e8f\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u5e94\u8be5\u7ea0\u6b63\u5b83\uff0c\u6211\u4eec\u4f1a\u5f97\u5230\u8fd9\u4e2a\u7ed3\u679c\uff1aP(x) = 4&#215;3 \u2013 x2 + 3x\u3002<\/li>\n<li><strong>\u5b8c\u5168\u591a\u9879\u5f0f\uff1a<\/strong>\u5f53\u6211\u4eec\u627e\u5230\u4e00\u4e2a\u5305\u542b\u6240\u6709\u53ef\u80fd\u6307\u6570\uff08\u4ece\u6700\u9ad8\u6b21\u5230\u72ec\u7acb\u9879\uff09\u7684\u5355\u9879\u5f0f\u7684\u591a\u9879\u5f0f\u65f6\uff0c\u6211\u4eec\u8bf4\u5b83\u662f\u4e00\u4e2a<a href=\"https:\/\/mathority.org\/cn\/\u6ee1\u591a\u9879\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u5b8c\u5168\u591a\u9879\u5f0f<\/a>\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u8868\u8fbe\u5f0f\uff1aP(x) = 3 x\u00b2 + 2x \u2013 4 \u5c31\u662f\u8fd9\u79cd\u7c7b\u578b\uff0c\u56e0\u4e3a 2 \u548c 0 \u4e4b\u95f4\u4e0d\u5b58\u5728\u7f3a\u5931\u7684\u6307\u6570\u3002<\/li>\n<li><strong>\u9f50\u6b21\u591a\u9879\u5f0f\uff1a<\/strong>\u662f\u6bcf\u4e2a\u5355\u9879\u5f0f\u7684\u7edd\u5bf9\u6b21\u6570\u76f8\u7b49\u7684\u591a\u9879\u5f0f\u3002\u53d8\u91cf\u7684\u6307\u6570\u53ef\u4ee5\u6709\u4e0d\u540c\u7684\u503c\uff0c\u4f46\u6240\u6709\u5355\u9879\u5f0f\u4e2d\u53d8\u91cf\u7684\u6307\u6570\u4e4b\u548c\u5fc5\u987b\u76f8\u540c\u3002\u4f8b\u5982\uff1aP(x) = x\u00b2y\u00b3z + 3 x <sup>4<\/sup> yz\uff0c\u8fd9\u4e24\u4e2a\u548c\u5f97\u5230\u516d\u4e2a 2 + 3 + 1 = 4 + 1 + 1 = 6\u3002<\/li>\n<li><strong>\u76f8\u540c\u7684\u591a\u9879\u5f0f\uff1a<\/strong>\u5f53\u6211\u4eec\u627e\u5230\u4e24\u4e2a\u6216\u591a\u4e2a\u5171\u4eab\u76f8\u540c\u9879\u7684\u7cfb\u6570\u7684\u591a\u9879\u5f0f\u65f6\uff0c\u6211\u4eec\u4f1a\u8bf4\u5b83\u4eec\u662f\u76f8\u540c\u7684\u591a\u9879\u5f0f\u3002\u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u4e24\u4e2a\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u793a\u4f8b\uff1aP(x) = 2x + 27 \u548c Q(x) = 5 (x + 3) \u2013 3 (x \u2013 4)\uff0c\u5b83\u4eec\u662f\u76f8\u540c\u7684\uff0c\u56e0\u4e3a\u5b83\u4eec\u5171\u4eab\u6bcf\u4e2a\u6307\u6570\u7684\u7cfb\u6570\uff1a2x = 5x \u2013 3x \u4e14 27 = 15 + 12\u3002<\/li>\n<li><strong>\u96f6\u591a\u9879\u5f0f\uff1a<\/strong>\u8be5\u591a\u9879\u5f0f\u53ea\u6709\u96f6\u7cfb\u6570\uff08\u7b49\u4e8e\u96f6\uff09\uff0c\u56e0\u6b64\u591a\u9879\u5f0f\u7684\u603b\u503c\u4e5f\u5c06\u4e3a\u96f6\u3002\u591a\u9879\u5f0f P(x) = 0x3 + 0x2 \u2013 0x \u2013 0 \u662f\u6b64\u7c7b\u591a\u9879\u5f0f\u7684\u4e00\u4e2a\u660e\u663e\u793a\u4f8b\uff0c\u4f46\u4e0d\u5e94\u5c06\u5176\u4e0e Q(x) = 0 \u6df7\u6dc6\uff0c\u56e0\u4e3a\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u60a8\u5f62\u6210\u4e86\u4e00\u4e2a\u65b9\u7a0b\uff0c\u4f46\u5b83\u5e76\u6ca1\u6709\u5e76\u4e0d\u610f\u5473\u7740 Q(x) \u7684\u6240\u6709\u7cfb\u6570\u90fd\u4e3a 0\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"valor-numerico-de-un-polinomio\"><span id=\"Valor_numerico_de_un_polinomio\">\u591a\u9879\u5f0f\u7684\u6570\u503c<\/span><\/h2>\n<p><strong>\u591a\u9879\u5f0f\u7684\u6570\u503c<\/strong>\u662f\u5c06\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u7684\u53d8\u91cf\u66ff\u6362\u4e3a\u4e00\u4e2a\u6570\u5b57\u6240\u5f97\u5230\u7684\u7ed3\u679c\u3002\u6211\u4eec\u53ea\u9700\u8981\u50cf<a href=\"https:\/\/mathority.org\/cn\/\u8054\u5408\u7ecf\u8425\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u7ec4\u5408\u8fd0\u7b97<\/a>\u4e00\u6837\u6c42\u89e3\u8fd9\u4e2a\u591a\u9879\u5f0f\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u53ef\u7528\u4e8e\u83b7\u53d6\u6b64\u7c7b\u8868\u8fbe\u5f0f\u7684\u6570\u503c\u7684\u4e09\u79cd\u65b9\u6cd5\u3002<\/p>\n<ul>\n<li><strong>\u76f4\u63a5\u66ff\u6362\uff1a<\/strong>\u5f53\u6211\u4eec\u76f4\u63a5\u7ed9\u51fa\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u53d8\u91cf\u5bf9\u5e94\u7684\u503c\u65f6\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u8fd9\u4e9b\u53d8\u91cf\u66ff\u6362\u4e3a\u8fd9\u4e9b\u6570\u5b57\u5373\u53ef\u3002\u8fd9\u6837\uff0c\u5982\u679c\u6211\u4eec\u6709\u591a\u9879\u5f0f P(x) = 2x\u00b2 \u2013 x + 4\uff0c\u5e76\u4e14\u6211\u4eec\u88ab\u544a\u77e5 x = 3\uff0c\u5219\u8be5\u591a\u9879\u5f0f\u7684\u6570\u503c\u5c06\u7b49\u4e8e 2 \u00b7 3\u00b2 \u2013 3 + 4 = 19\u3002<\/li>\n<li><strong>\u53d8\u91cf\u89e3\u6790\uff1a<\/strong>\u5f53\u4ed6\u4eec\u4e0d\u76f4\u63a5\u7ed9\u6211\u4eec\u53d8\u91cf\u7684\u503c\uff0c\u4f46\u7ed9\u6211\u4eec\u4e00\u4e2a\u7b49\u4ef7\u7269\u65f6\uff0c\u6211\u4eec\u5c06\u5e94\u7528\u8fd9\u79cd\u60c5\u51b5\u3002\u4f8b\u5982\uff0cP(2) \u5982\u679c P(x \u2013 1) = x\u00b3 \u2013 2x + 1 \u4e3a\u771f\uff0c\u90a3\u4e48\u6211\u4eec\u9996\u5148\u6c42\u89e3\u65b9\u7a0b 2 = x \u2013 1 \u5e76\u5f97\u5230 x = 3\u3002\u6700\u540e\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 3 \u4ee3\u5165x\uff0c\u4f7f\u5f97 3\u00b3 \u2013 2 \u00b7 3 + 1 = 22\u3002<\/li>\n<li><strong>\u53d8\u91cf\u7684\u53d8\u5316\uff1a<\/strong>\u5f53\u6211\u4eec\u6709\u4e00\u4e2a\u591a\u9879\u5f0f P(x) = 4x \u2013 2 \u5e76\u4e14\u6211\u4eec\u60f3\u77e5\u9053 P(x + 2) \u7684\u8fd9\u4e2a\u503c\u65f6\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u9700\u8981\u5c06\u8868\u8fbe\u5f0f\u4e2d\u7684\u6240\u6709 x \u66f4\u6539\u4e3a a(x+2)\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u6700\u540e\u4e00\u4e2a\u89e3\u51b3\u7684\u793a\u4f8b\u662f\u4ec0\u4e48\u6837\u5b50\uff1aP (x + 2) = 4 (x + 2) \u2013 2\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"operaciones-con-polinomios\"><span id=\"Operaciones_con_polinomios\">\u591a\u9879\u5f0f\u8fd0\u7b97<\/span><\/h2>\n<p>\u4e0b\u9762\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55<strong>\u7528\u591a\u9879\u5f0f\u6c42\u89e3\u56db\u79cd\u57fa\u672c\u7b97\u672f\u8fd0\u7b97<\/strong>\uff0c\u59cb\u7ec8\u9075\u5faa<a href=\"https:\/\/mathority.org\/cn\/\u64cd\u4f5c\u5c42\u6b21\u7ed3\u6784\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8fd0\u7b97\u5c42\u6b21\u7ed3\u6784<\/a>\u3002\u5728\u6bcf\u4e2a\u90e8\u5206\u4e2d\uff0c\u60a8\u90fd\u4f1a\u627e\u5230\u4e00\u4e9b\u7406\u8bba\uff0c\u8ba9\u60a8\u4e86\u89e3\u5982\u4f55\u5728\u6bcf\u79cd\u60c5\u51b5\u4e0b\u8fdb\u884c\u64cd\u4f5c\uff0c\u4ee5\u53ca\u4e00\u4e9b\u5b9e\u9645\u793a\u4f8b\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"suma-de-polinomios\">\u591a\u9879\u5f0f\u7684\u52a0\u6cd5<\/h3>\n<p>\u8981\u6dfb\u52a0\u591a\u9879\u5f0f\uff0c\u6211\u4eec\u5fc5\u987b\u8003\u8651\u5230\u5b83\u4eec\u53ea\u80fd\u6309<strong>\u76f8\u4f3c\u9879<\/strong>\u5206\u7ec4\uff0c\u56e0\u6b64\u5982\u679c\u6211\u4eec\u6709\u591a\u9879\u5f0f P(x) = 3x\u00b3 \u2013 x\u00b2 + 2x \u2013 4 \u548c Q(x) = 2x\u00b2 + 3x \u2013 2\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u5f97\u5230 P(x) + Q(x)\uff0c\u6211\u4eec\u5c06\u4e24\u4e2a\u5177\u6709\u76f8\u540c\u6307\u6570\u7684\u591a\u9879\u5f0f\u7684\u7cfb\u6570\u76f8\u52a0\uff1a P(x) + Q(x) = 3x\u00b3 + (-x) \u00b2 + 2x\u00b2) + ( 2x + 3x) + (-4 -2) = 3x\u00b3 + x\u00b2 + 5x \u2013 6\u3002\u603b\u800c\u8a00\u4e4b\uff0c\u6211\u4eec\u53ef\u4ee5\u8bf4\u6211\u4eec\u5c06\u6bcf\u4e2a\u76f8\u4f3c\u9879\u7684\u7cfb\u6570\u5206\u7ec4\u5e76\u76f8\u52a0\uff0c\u6700\u540e\u6211\u4eec\u7528\u4e00\u4e2a\u591a\u9879\u5f0f\u8868\u793a\u6240\u6709\u9879\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"resta-de-polinomios\">\u591a\u9879\u5f0f\u51cf\u6cd5<\/h3>\n<p>\u591a\u9879\u5f0f\u7684\u51cf\u6cd5\u4e0e\u52a0\u6cd5\u7684\u6c42\u89e3\u65b9\u5f0f\u76f8\u540c\uff0c\u552f\u4e00\u7684\u533a\u522b\u663e\u7136\u662f\u7b26\u53f7\u3002\u7136\u540e\u6211\u4eec\u5c06\u76f8\u4f3c\u7684\u672f\u8bed\u7ec4\u5408\u5728\u4e00\u8d77\uff0c\u51cf\u53bb\u5e76\u5c06\u5176\u5168\u90e8\u8f6c\u6362\u4e3a\u5355\u4e2a\u8868\u8fbe\u5f0f\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u5411\u60a8\u5c55\u793a\uff1aP(x) = 5x\u00b3 \u2013 2x\u00b2 + x \u2013 3 \u548c Q(x) = 3x\u00b2 + 5x + 4\uff0c\u5219 P(x) \u2013 Q(x ) = 5x\u00b3 + (-2x\u00b2 + 3x\u00b2) + (x + 5x) + (-3 + 4) = 5x\u00b3 + x\u00b2 + 6x + 1\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"multiplicacion-de-polinomios\">\u591a\u9879\u5f0f\u4e58\u6cd5<\/h3>\n<p>\u89e3\u51b3\u8fd9\u79cd\u7c7b\u578b\u7684\u4e58\u6cd5\u65f6\uff0c\u4e8b\u60c5\u53ef\u80fd\u4f1a\u53d8\u5f97\u6709\u70b9\u590d\u6742\uff0c\u4f46\u5982\u679c\u60a8\u9075\u5faa\u6211\u4eec\u5c06\u544a\u8bc9\u60a8\u7684\u6240\u6709\u6b65\u9aa4\uff0c\u90a3\u4e48\u60a8\u5c31\u4f1a\u6ca1\u4e8b\u7684\u3002\u5728\u8fd9\u4e2a\u6570\u5b66\u8fd0\u7b97\u4e2d\uff0c\u6240\u6709\u5355\u9879\u5f0f\u90fd\u5c06\u4e0e\u6240\u6709\u5176\u4ed6\u5355\u9879\u5f0f\u4e00\u8d77\u8fd0\u7b97\uff0c\u8fd9\u610f\u5473\u7740\u6211\u4eec\u4e0d\u4ec5\u4f1a\u76f8\u4e58\u76f8\u4f3c\u7684\u9879\u3002\u6b64\u5916\uff0c\u4e0d\u4ec5<strong>\u7cfb\u6570\u4f1a\u6539\u53d8<\/strong>\uff0c<strong>\u6307\u6570\u4e5f\u4f1a\u6539\u53d8<\/strong>\u3002\u901a\u8fc7\u8fd9\u4e2a\u4f8b\u5b50\uff0c\u60a8\u5c06\u66f4\u597d\u5730\u7406\u89e3\u4e00\u5207\uff1aP(x) = 2x\u00b2 + 3x \u2013 1 \u548c Q(x) = 2x + 3\uff1a<\/p>\n<p> P(x) Q(x) = (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 2x\u00b2<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 3x<\/mark> \u2013<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">1<\/mark> )\u00b7( <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2x<\/mark> + <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> \uff09=<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 2x\u00b2<\/mark> \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2x<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 2x\u00b2<\/mark> \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 3x<\/mark> \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2x<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 3x<\/mark> \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">-1<\/mark> ) \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2x<\/mark> + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">-1<\/mark> )\u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> = 4&#215;3 + 6&#215;2 + 6&#215;2 + 9x \u2013 2x \u2013 3 = 4&#215;3 + 12&#215;2 + 7x \u2013 3<\/p>\n<p>\u57fa\u672c\u4e0a\uff0c\u6211\u4eec\u5c06\u591a\u9879\u5f0f\u6bcf\u4e00\u9879\u7684\u7cfb\u6570\u4e58\u4ee5\u7b2c\u4e8c\u9879\u7684\u6240\u6709\u7cfb\u6570\uff0c\u7136\u540e\u5e94\u7528<strong>a <sup>n<\/sup> \u00b7 a <sup>m<\/sup> = a <sup>n+m<\/sup><\/strong>\u7684\u5e42\u5c5e\u6027\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"division-de-polinomios\">\u591a\u9879\u5f0f\u9664\u6cd5<\/h3>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u53ea\u9700\u8981\u89e3\u91ca\u4e00\u4e0b\u5982\u4f55\u89e3\u51b3\u591a\u9879\u5f0f\u7684\u9664\u6cd5\uff0c\u57fa\u672c\u4e0a\u6211\u4eec\u9700\u8981\u5e94\u7528\u9664\u6cd5\u7684\u5206\u914d\u5f8b\uff1a(a + b + c) \u00f7 d = (a \u00f7 d) + (b \u00f7 d) + (c \u00f7 d)\u3002\u6211\u4eec\u8fd8\u5c06\u4ee5\u4e0b\u5e42\u5c5e\u6027\u5e94\u7528\u4e8e<strong><sup>n<\/sup> \u00f7 a <sup>m<\/sup> = a <sup>nm<\/sup><\/strong> \u3002\u73b0\u5728\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u6765\u4e86\u89e3\u8fd9\u4e00\u70b9\uff1aP(x) = 3x\u00b3 \u2013 6x\u00b2 + 9x \u548c Q(x) = 3x\u3002<\/p>\n<p> P(x) \u00f7 Q(x) = (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 3\u00d7\u7acb\u65b9<\/mark>\u2013<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 6x\u00b2<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">9x<\/mark> ) \u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3x<\/mark> =\uff08<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 3\u00d7\u7acb\u65b9<\/mark>\u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3x<\/mark> ) + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 6x\u00b2<\/mark> \u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3x<\/mark> ) + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">9x<\/mark> \u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3x<\/mark> ) = x\u00b2 \u2013 2x + 3<\/p>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u4f7f\u7528\u591a\u9879\u5f0f\u6c42\u89e3\u6240\u6709\u8fd9\u4e9b\u8fd0\u7b97\uff0c\u6211\u4eec\u5e0c\u671b\u60a8\u77e5\u9053\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u5e94\u7528\u5b83\u3002\u4f46\u5982\u679c\u60a8\u8ba4\u4e3a\u60c5\u51b5\u5e76\u975e\u5982\u6b64\uff0c\u5e76\u4e14\u60a8\u60f3\u7ee7\u7eed\u7ec3\u4e60\u4e00\u70b9\uff0c\u90a3\u4e48\u6211\u4eec\u5efa\u8bae\u60a8\u67e5\u770b<a href=\"https:\/\/www.vadenumeros.es\/tercero\/ejercicios-de-polinomios.htm\" target=\"_blank\" rel=\"noreferrer noopener\">\u672c\u9875\u4e0a\u7684\u4e00\u4e9b\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60<\/a>\u3002\u8fd9\u4e9b\u5c06\u5e2e\u52a9\u60a8\u5b8c\u6210\u6240\u6709\u8fd9\u4e9b\u6570\u5b66\u6982\u5ff5\u7684\u5185\u5316\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"factorizacion-de-polinomios\">\u591a\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3<\/h3>\n<p>\u8981\u5bf9<a href=\"https:\/\/mathority.org\/cn\/\u9636\u4e58\u591a\u9879\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c<\/a>\u60a8\u53ef\u4ee5\u6309\u7167\u6700\u540e\u4e00\u4e2a\u94fe\u63a5\u4e2d\u7684\u6587\u7ae0\u4e2d\u7684\u8bf4\u660e\u624b\u52a8\u8fdb\u884c\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/mathority.org\/cn\/\u9c81\u83f2\u5c3c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noreferrer noopener\">Ruffini \u8ba1\u7b97\u5668<\/a>\u8fdb\u884c\u3002\u5982\u679c\u60a8\u60f3\u5feb\u901f\u5b8c\u6210\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u4f7f\u7528\u7b2c\u4e8c\u4e2a\u9009\u9879\uff0c\u4f46\u5982\u679c\u60a8\u53ea\u662f\u5b66\u4e60\u5982\u4f55\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u90a3\u4e48\u60a8\u6700\u597d\u624b\u52a8\u7ec3\u4e60\u3002\u5e94\u6839\u636e\u60a8\u7684\u60c5\u51b5\u9009\u62e9\u6267\u884c\u6b64\u64cd\u4f5c\u7684\u65b9\u6cd5\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"resolver-polinomios-con-la-calculadora-cientifica\"><span id=\"Resolver_polinomios_con_la_calculadora_cientifica\">\u4f7f\u7528\u79d1\u5b66\u8ba1\u7b97\u5668\u6c42\u89e3\u591a\u9879\u5f0f<\/span><\/h2>\n<p>\u5f53\u4eca\u5e02\u573a\u4e0a\u6709\u8bb8\u591a\u4e0d\u540c\u7684\u79d1\u5b66\u8ba1\u7b97\u5668\u3002\u4f46\u5982\u679c\u60a8\u6b63\u5728\u5bfb\u627e\u4e00\u6b3e<strong>\u53ef\u4ee5\u6c42\u89e3\u591a\u9879\u5f0f<\/strong>\u7684\u5ec9\u4ef7\u8ba1\u7b97\u5668\uff0c\u6211\u4eec\u63a8\u8350<a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">Casio FX-991SPX II<\/a> \u3002\u5b83\u6613\u4e8e\u4f7f\u7528\uff0c\u529f\u80fd\u5f3a\u5927\uff0c\u529f\u80fd\u9f50\u5168\uff0c\u975e\u5e38\u9002\u5408\u4efb\u4f55\u521d\u4e2d\u548c\u9ad8\u4e2d\u6570\u5b66\u5b66\u751f\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u7b80\u8981\u89e3\u91ca\u5982\u4f55\u4f7f\u7528\u6b64\u6a21\u578b\u6216\u7c7b\u4f3c\u7684\u5361\u897f\u6b27\u6a21\u578b\u6c42\u89e3\u8fd9\u79cd\u98ce\u683c\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u3002<\/p>\n<p>\u60a8\u5fc5\u987b\u9996\u5148\u8f93\u5165\u53d8\u91cf\u7684\u6570\u503c\uff0c\u7136\u540e\u6309<strong>\u201cSTO\u201d+\u53d8\u91cf\u7684\u5b57\u6bcd<\/strong>\uff0c\u4f8b\u5982x\u3002\u56e0\u6b64\uff0c\u5f53\u5b9a\u4e49\u4e86\u6240\u6709\u53d8\u91cf\u540e\uff0c\u60a8\u53ea\u9700\u7f16\u5199\u6240\u6709\u53d8\u91cf\u548c\u6240\u6709\u6570\u5b57\u7684\u591a\u9879\u5f0f\u8868\u8fbe\u5f0f\u5373\u53ef\u3002\u6700\u540e\uff0c\u5fc5\u987b\u6309\u4e0b\u7b49\u53f7\u952e\uff0c\u8fd9\u6837\u60a8\u5c31\u53ef\u4ee5\u5f97\u5230\u76f8\u5f53\u4e8e\u591a\u9879\u5f0f\u6570\u503c\u7684\u7ed3\u679c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u9879\u5f0f\u662f\u7531\u53d8\u91cf\u4e58\u4ee5\u6307\u6570\u7684\u7cfb\u6570\uff08\u6570\u503c\uff09\u5f62\u6210\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\uff0c\u4f8b\u5982\u8868\u8fbe\u5f0f 4x\u00b2 \u5c31\u662f\u5355\u9879\u5f0f\u3002\u56e0\u6b64\uff0c\u4ece\u8fd9\u4e2a\u6570\u5b66\u6982\u5ff5\uff0c\u6211 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u591a\u9879\u5f0f<\/span> \u67e5\u770b\u5168\u6587 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