{"id":53,"date":"2023-09-17T07:27:21","date_gmt":"2023-09-17T07:27:21","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/"},"modified":"2023-09-17T07:27:21","modified_gmt":"2023-09-17T07:27:21","slug":"%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/","title":{"rendered":"\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff08\u6216\u4e58\u79ef\uff09"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u591a\u9879\u5f0f\u5982\u4f55\u76f8\u4e58\u3002\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u793a\u4f8b\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002\u6700\u540e\uff0c\u60a8\u5c06\u53d1\u73b0\u4e58\u6cd5\u591a\u9879\u5f0f\u7684\u6027\u8d28\u662f\u4ec0\u4e48\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\/comment-multiplier-2-polynomes.png\" alt=\"\u5982\u4f55\u4e58\u591a\u9879\u5f0f\" class=\"wp-image-586\" width=\"216\" height=\"217\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u7136\u800c\uff0c\u8981\u5b8c\u5168\u7406\u89e3\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u6982\u5ff5\uff0c\u6211\u4eec\u5c06\u4ece\u6700\u57fa\u672c\u7684\u5230\u6700\u590d\u6742\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u5c06\u4ece\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u4e58\u4ee5\u4e00\u4e2a\u6570\u5b57\u5f00\u59cb\uff0c\u7136\u540e\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u4e58\u4ee5\u5355\u9879\u5f0f\uff0c\u6700\u540e\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u5c06\u4e24\u4e2a\u6216\u591a\u4e2a\u591a\u9879\u5f0f\u76f8\u4e58\u3002<\/p>\n<p>\u6211\u5efa\u8bae\u60a8\u9075\u5faa\u8fd9\u4e2a\u987a\u5e8f\uff0c\u4f46\u662f\u5982\u679c\u60a8\u8ba4\u4e3a\u60a8\u5df2\u7ecf\u638c\u63e1\u4e86\u524d\u9762\u591a\u9879\u5f0f\u7684\u8fd0\u7b97\uff0c\u60a8\u53ef\u4ee5\u901a\u8fc7\u5355\u51fb\u7d22\u5f15\u76f4\u63a5\u8fdb\u5165\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u4e58\u6cd5\uff1a <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-numero\"><\/span>\u5c06\u591a\u9879\u5f0f\u4e58\u4ee5\u4e00\u4e2a\u6570\u5b57<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6807\u91cf\uff08\u6216\u6570\u5b57\uff09\u548c\u591a\u9879\u5f0f\u7684\u4e58\u79ef\u6c42\u89e3\u8d77\u6765\u975e\u5e38\u7b80\u5355\uff0c\u53ea\u9700<strong>\u5c06\u6570\u5b57\u4e58\u4ee5\u591a\u9879\u5f0f\u6bcf\u4e00\u9879\u7684\u7cfb\u6570\u5373\u53ef<\/strong>\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\/nombre-de-multiplication-par-polynome.jpg\" alt=\"\u4e00\u4e2a\u6570\u4e58\u4ee5\u591a\u9879\u5f0f\" class=\"wp-image-593\" width=\"305\" height=\"150\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u62ec\u53f7\u524d\u9762\u7684\u4e58\u53f7\u53ef\u4ee5\u7701\u7565\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-794a3972ecb155b810fc6833caa7d1a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 2\\cdot (5x^4-6x^2) =  \\\\[2ex] =2 (5x^4-6x^2)= \\\\[2ex] = 10x^4-12x^2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-monomio\"><\/span>\u591a\u9879\u5f0f\u4e58\u4ee5\u5355\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u4e0e\u5355\u9879\u5f0f\u76f8\u4e58\u4e4b\u524d\uff0c\u6211\u4eec\u9996\u5148\u56de\u987e\u4e00\u4e0b\u5355\u9879\u5f0f\u5982\u4f55\u76f8\u4e92\u76f8\u4e58\uff0c\u56e0\u4e3a\u60a8\u9700\u8981\u77e5\u9053\u5b83\u624d\u80fd\u8fdb\u884c\u6b64\u7c7b\u591a\u9879\u5f0f\u8fd0\u7b97\u3002<\/p>\n<p>\u4e24\u4e2a\u5355\u9879\u5f0f\u7684\u4e58\u79ef\u5305\u62ec\u5c06\u5b83\u4eec\u7684\u7cfb\u6570\u5f7c\u6b64\u76f8\u4e58\u4ee5\u53ca\u5b83\u4eec\u7684\u6587\u5b57\u90e8\u5206\u5f7c\u6b64\u76f8\u4e58\uff0c\u5373\uff0c\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u76f8\u4e58\uff0c\u5e76\u4e14\u5177\u6709\u76f8\u540c\u57fa\u6570\u7684\u53d8\u91cf\u7684\u6307\u6570\u76f8\u52a0\u3002\u770b\u4e0b\u9762\u7684\u4f8b\u5b50\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-1a80e193c5d8ecc70d1435dbd2ebea1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2 \\cdot 4x^5 = (3\\cdot 4) x^{2+5} = 12x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u5c06\u5355\u9879\u5f0f\u4e58\u4ee5\u591a\u9879\u5f0f\uff1a<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u5728\u6570\u5b66\u4e2d\uff0c\u4e3a\u4e86\u89e3\u51b3<strong>\u5355\u9879\u5f0f\u4e0e\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff0c<\/strong>\u5c06\u5355\u9879\u5f0f\u4e58\u4ee5\u591a\u9879\u5f0f\u4e2d\u7684\u6bcf\u4e00\u9879\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\/multiplication-d-un-polynome-par-un-monome.jpg\" alt=\"\u591a\u9879\u5f0f\u4e58\u4ee5\u5355\u9879\u5f0f\" class=\"wp-image-601\" width=\"407\" height=\"220\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u548c\u4ee5\u524d\u4e00\u6837\uff0c\u4e58\u53f7\u4e5f\u53ef\u4ee5\u7701\u7565\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-f3c8bf0b635315032c46506aee223e29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} -4x \\cdot (2x^3-5x^2)= \\\\[2ex] =-4x (2x^3-5x^2)=\\\\[2ex] = -4x\\cdot 2x^3 -4x \\cdot (-5x^2) = \\\\[2ex] =-8x^4 +20x^3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"217\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u524d\u9762\u7684\u793a\u4f8b\u4e2d\uff0c\u5f53\u5c06\u5355\u9879\u5f0f\u6216\u591a\u9879\u5f0f\u76f8\u4e58\u65f6\uff0c\u8fd8\u5fc5\u987b\u8003\u8651\u7b26\u53f7\u89c4\u5219\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5355\u9879\u5f0f\u548c\u591a\u9879\u5f0f\u76f8\u4e58\u65f6\u4e00\u4e2a\u975e\u5e38\u5e38\u89c1\u7684\u9519\u8bef\u662f\u9879\u7684\u7b26\u53f7\u9519\u8bef\u3002<\/p>\n<p>\u5f53\u7136\uff0c\u5728\u67d0\u4e9b\u65f6\u5019\uff0c\u5f53\u4f60\u770b\u5230\u6570\u5b66\u4e2d\u7684\u65b0\u4e1c\u897f\u65f6\uff0c\u4f60\u4f1a\u95ee\u81ea\u5df1\uff1a<span style=\"text-decoration: underline;\">\u5b83\u662f\u7528\u6765\u505a\u4ec0\u4e48\u7684<\/span>\uff1f\u55ef\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u4e58\u6cd5\u7528\u4e8e\u83b7\u53d6<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u6458\u5f55-\u6458\u5f55-\u7ec3\u4e60-\u516c\u56e0\u6570-\u5df2\u89e3\u51b3\u7684\u4f8b\u5b50\/\">\u591a\u9879\u5f0f\u7684\u516c\u56e0\u6570<\/a><\/span><\/strong>\uff0c\u8fd9\u79cd\u8fd0\u7b97\u53ef\u4ee5\u8ba9\u60a8\u7b80\u5316\u591a\u9879\u5f0f\uff08\u975e\u5e38\u6709\u7528\uff09\u3002\u60a8\u53ef\u4ee5\u5728\u6b64\u94fe\u63a5\u4e2d\u4e86\u89e3\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u591a\u9879\u5f0f\u7684\u516c\u56e0\u5b50\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-dos-polinomios\"><\/span>\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u4e58\u4ee5\u6570\u5b57\u548c\u5355\u9879\u5f0f\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u4e58\u4ee5\u591a\u9879\u5f0f\u3002 <\/p>\n<div style=\"background-color:#ffebee;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px;  border-radius:20px;\">\n<p style=\"text-align:left; margin-bottom:15px;\">\u8981<strong>\u4e58\u591a\u9879\u5f0f\uff0c<\/strong>\u8bf7\u6309\u7167\u4e0b\u5217\u6b65\u9aa4\u64cd\u4f5c\uff1a<\/p>\n<ol style=\"font-weight: bold;\">\n<li style=\"margin-bottom:8px;\"><span style=\"font-weight: normal;\">\u5c06\u7b2c\u4e00\u4e2a\u591a\u9879\u5f0f\u4e2d\u7684\u6bcf\u4e00\u9879\u4e58\u4ee5\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u4e2d\u7684\u6240\u6709\u9879\u3002<\/span><\/li>\n<li><span style=\"font-weight: normal;\">\u6dfb\u52a0\uff08\u6216\u51cf\u53bb\uff09\u76f8\u540c\u6b21\u6570\u7684\u5355\u9879\u5f0f\uff08\u76f8\u4f3c\u5355\u9879\u5f0f\uff09\u3002<\/span><\/li>\n<\/ol>\n<\/div>\n<p>\u6240\u4ee5\u4f60\u53ef\u4ee5\u786e\u5207\u5730\u770b\u5230\u8fd9\u4e2a\u65b9\u6cd5\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u9010\u6b65\u89e3\u51b3\u4ee5\u4e0b\u591a\u9879\u5f0f\u4e58\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\/exemples-de-multiplication-de-polynomes.jpg\" alt=\"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4f8b\u5b50\" class=\"wp-image-618\" width=\"326\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u7b2c\u4e00\u4e2a\u4e58\u6cd5\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\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\/multiplication-de-polynomes.jpg\" alt=\"\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\" class=\"wp-image-619\" width=\"333\" height=\"224\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\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\/multiplication-de-polynomes-pas-a-pas.jpg\" alt=\"\u591a\u9879\u5f0f\u9010\u6b65\u76f8\u4e58\" class=\"wp-image-620\" width=\"399\" height=\"90\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u73b0\u5728\u6211\u4eec\u8fdb\u884c\u6240\u6709\u5355\u9879\u5f0f\u7684\u4e58\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\/produit-de-deux-polynomes.jpg\" alt=\"\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u79ef\" class=\"wp-image-3014\" width=\"436\" height=\"50\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4e00\u65e6\u6211\u4eec\u5c06\u591a\u9879\u5f0f\u76f8\u4e58\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u76f8\u4f3c\u7684\u7ed3\u679c\u9879\u5206\u7ec4\uff0c\u4e5f\u5c31\u662f\u8bf4\u5177\u6709\u76f8\u540c\u5b57\u6bcd\u548c\u76f8\u540c\u6307\u6570\u7684\u9879\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\/multiplication-de-polynomes-par-polynomes-deux.jpg\" alt=\"\u591a\u9879\u5f0f\u4e0e\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\" class=\"wp-image-684\" width=\"436\" height=\"116\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u7ed3\u679c\u662f\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\/resultat-multiplication-de-polynomes.jpg\" alt=\"\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u7ed3\u679c\" class=\"wp-image-685\" width=\"288\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8fd9\u6837\u6211\u4eec\u5c31\u5df2\u7ecf\u7b97\u51fa\u4e86\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\u4e86\u3002\u4e5f\u8bb8\u73b0\u5728\u4f60\u89c9\u5f97\u5f88\u96be\uff0c\u4f46\u662f\u4f60\u4f1a\u53d1\u73b0\uff0c\u5f53\u4f60\u7ec3\u4e60\u4e24\u5230\u4e09\u4e2a\u7ec3\u4e60\u65f6\uff0c\u5c31\u4f1a\u5bb9\u6613\u5f97\u591a\u3002<\/p>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u6c42\u89e3\u4e24\u4e2a\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u4e58\u6cd5\uff0c\u60a8\u53ef\u80fd\u6709\u5174\u8da3\u4e86\u89e3<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u9664\u6cd5-\u4f8b\u5b50-\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60-\u9664\u6cd5\/\">\u5982\u4f55\u9664\u591a\u9879\u5f0f<\/a><\/span><\/strong>\u3002\u4e8b\u5b9e\u4e0a\uff0c\u591a\u9879\u5f0f\u9664\u6cd5\u6bd4\u591a\u9879\u5f0f\u4e58\u6cd5\u590d\u6742\u5f97\u591a\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u4e00\u6b65\u6b65\u89e3\u91ca\u4e86\u8be5\u8fc7\u7a0b\uff08\u548c\u63d0\u793a\ud83d\ude09\uff09\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u5b8c\u5168\u7406\u89e3\u5b83\u3002\u5982\u679c\u60a8\u6709\u5174\u8da3\uff0c\u8bf7\u5355\u51fb\u6b64\u94fe\u63a5\u4ee5\u67e5\u770b\u591a\u9879\u5f0f\u5982\u4f55\u9664\u6cd5\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-polinomios-vertical\"><\/span>\u5782\u76f4\u591a\u9879\u5f0f\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u6211\u4eec\u521a\u521a\u770b\u5230\u4e86\u5982\u4f55\u5c06\u4e00\u4e2a\u591a\u9879\u5f0f\u4e0e\u53e6\u4e00\u4e2a\u591a\u9879\u5f0f\u6c34\u5e73\u76f8\u4e58\uff0c\u4f46\u8fd9\u4e5f\u53ef\u4ee5\u901a\u8fc7\u66f4\u7ecf\u5178\u7684\u65b9\u5f0f\u6765\u5b8c\u6210\uff1a\u5782\u76f4\u76f8\u4e58\u591a\u9879\u5f0f\u3002\u8ba9\u6211\u4eec\u901a\u8fc7\u6c42\u89e3\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u793a\u4f8b\u6765\u770b\u770b\u5982\u4f55\u4f7f\u7528\u8be5\u65b9\u6cd5\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u60f3\u8981\u5c06\u4ee5\u4e0b\u4e24\u4e2a\u591a\u9879\u5f0f\u5782\u76f4\u76f8\u4e58\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-e5478df383296dfba5baa18b100c8f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5x^2+3x-4) \\cdot (2x^2-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u5c06\u4e00\u4e2a\u591a\u9879\u5f0f\u653e\u5728\u53e6\u4e00\u4e2a\u591a\u9879\u5f0f\u4e0b\u9762\uff0c\u4f5c\u4e3a\u591a\u9879\u5f0f\u7684\u4ee3\u6570\u4e58\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\/multiplication-de-polynomes-en-ligne.jpg\" alt=\"\u5728\u7ebf\u591a\u9879\u5f0f\u4e58\u6cd5\" class=\"wp-image-638\" width=\"259\" height=\"71\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u5176\u6b21\uff0c\u6211\u4eec\u5c06\u4e0b\u9762\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u4e58\u4ee5\u4e0a\u9762\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u6309\u5217\u4ece\u6700\u9ad8\u6b21\u5230\u6700\u4f4e\u6b21\u6392\u5e8f\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\/operations-avec-polynomes-2.jpg\" alt=\"\u591a\u9879\u5f0f\u8fd0\u7b97\" class=\"wp-image-641\" width=\"259\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u6dfb\u52a0\u5782\u76f4\u5bf9\u9f50\u7684\u672f\u8bed\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\/multiplication-de-polynomes-verticaux-2.jpg\" alt=\"\u5782\u76f4\u591a\u9879\u5f0f\u4e58\u6cd5\" class=\"wp-image-645\" width=\"303\" height=\"193\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u65e2\u7136\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u89e3\u51b3\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u4e24\u79cd\u65b9\u6cd5\uff0c<span style=\"text-decoration: underline;\">\u60a8\u662f\u5426\u77e5\u9053\u4e5f\u53ef\u4ee5\u5c06\u5206\u6570\u4e0e\u591a\u9879\u5f0f\u76f8\u4e58<\/span>\uff1f\u4e0d\u4ec5\u53ef\u4ee5\u8fdb\u884c\u4e58\u6cd5\u8fd0\u7b97\uff0c\u8fd8\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e9b\u7c7b\u578b\u7684\u5206\u6570\u6267\u884c\u5404\u79cd\u8fd0\u7b97\u3002\u5355\u51fb\u6b64\u94fe\u63a5\u5e76\u4e86\u89e3\u4ec0\u4e48\u662f<strong><a href=\"https:\/\/mathority.org\/cn\/\u4ee3\u6570\u5206\u6570-\u7b80\u5316\u8fd0\u7b97-\u52a0\u51cf\u4e58\u9664-\u89e3\u7b54\u7ec3\u4e60\/\"><span style=\"text-decoration: underline;\">\u4ee3\u6570\u5206\u6570<\/span><\/a><\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-multiplicacion-de-polinomios\"><\/span>\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li><strong>\u4ea4\u6362\u5f8b<\/strong>\uff1a\u4e58\u6cd5\u591a\u9879\u5f0f\u7684\u9636\u6570\u4e0d\u6539\u53d8\u4e58\u6cd5\u7684\u7ed3\u679c\u3002<\/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-c665d7a99e0bd16f64cea1b0e4cf64b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\\cdot Q(x) = Q(x) \\cdot P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u7ed3\u5408\u6027<\/strong>\uff1a\u5f53\u4e09\u4e2a\u6216\u66f4\u591a\u591a\u9879\u5f0f\u76f8\u4e58\u65f6\uff0c\u65e0\u8bba\u56e0\u5b50\u5982\u4f55\u5206\u7ec4\uff0c\u4e58\u79ef\u7ed3\u679c\u90fd\u662f\u76f8\u540c\u7684\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-52bdfe9c0c3f2ad39f0d4c39d492f84f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(P(x) \\cdot Q(x)\\bigr) \\cdot R(x) =P(x) \\cdot \\bigl(Q(x) \\cdot R(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"330\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u5206\u914d\u6027<\/strong>\uff1a\u4e24\u4e2a\u591a\u9879\u5f0f\u4e4b\u548c\u4e58\u4ee5\u7b2c\u4e09\u4e2a\u591a\u9879\u5f0f\u7b49\u4e8e\u6bcf\u4e2a\u52a0\u6cd5\u4e4b\u548c\u4e58\u4ee5\u7b2c\u4e09\u4e2a\u591a\u9879\u5f0f\u3002<\/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-f71d8843b4fe23db9bb5d4211e5c666b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\\cdot \\bigl(Q(x)+ R(x)\\bigr) = P(x)\\cdot Q(x) + P(x) \\cdot R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"385\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e24\u4e2a<strong>\u591a\u9879\u5f0f<\/strong>\u76f8\u4e58\u5f97\u5230\u7684\u591a\u9879\u5f0f\u7684\u6b21\u6570\u7b49\u4e8e\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u6b21\u6570\u4e4b\u548c\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-multiplicaciones-de-polinomios\"><\/span>\u89e3\u51b3\u591a\u9879\u5f0f\u4e58\u6cd5\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u65b9\u4fbf\u60a8\u7ec3\u4e60\uff0c\u6211\u7ed9\u60a8\u7559\u4e0b\u4e86\u51e0\u4e2a\u6709\u5173\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u3002\u60a8\u53ef\u4ee5\u5c1d\u8bd5\u81ea\u5df1\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u5e76\u4f7f\u7528\u5efa\u8bae\u7684\u89e3\u51b3\u65b9\u6848\u68c0\u67e5\u60a8\u7684\u7ed3\u679c\u3002\u7136\u540e\u60a8\u53ef\u4ee5\u5728\u8bc4\u8bba\u4e2d\u5411\u6211\u4eec\u63d0\u51fa\u6240\u6709\u95ee\u9898\uff0c\u6211\u4eec\u5c06\u5f88\u4e50\u610f\u4e3a\u60a8\u63d0\u4f9b\u5e2e\u52a9\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u8ba1\u7b97\u591a\u9879\u5f0f\u548c\u6807\u91cf\u4e4b\u95f4\u7684\u4ee5\u4e0b\u4e58\u79ef\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-0f92bb2fcd1e07268914dabfd501f2c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4\\cdot (2x^3-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-e60e195551af280adac6e4702910db91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3 \\cdot (-5x^2+9x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" 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-d268a16fd753852a5a84c74273f29fef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5\\cdot(3x^2+4x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" 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-38aa478170ace73944926daa05e12542_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -6\\cdot(4x^5-6x^3+8x^2-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u8ba1\u7b97\u591a\u9879\u5f0f\u4e0e\u6570\u5b57\u7684\u4e58\u79ef\uff0c\u5fc5\u987b\u5c06\u8be5\u6570\u5b57\u4e58\u4ee5\u591a\u9879\u5f0f\u6bcf\u4e2a\u5143\u7d20\u7684\u7cfb\u6570\u3002\u6240\u4ee5\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-b6d1103f19b04ce291474f9132a99591_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4\\cdot (2x^3-4x) =4 \\cdot 2x^3 -4\\cdot 4x = \\bm{8x^3-16x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"363\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b7bbf5ca26a7268c5d0bd8e2562b626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3 \\cdot (-5x^2+9x) = -3 \\cdot (-5x^2)-3\\cdot 9x = \\bm{15x^2-27x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"448\" 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-20ae447b3f91baaa2df40e25daa0c903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5\\cdot(3x^2+4x-7) = \\bm{15x^2+20x-35}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"306\" 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-42b8fc68ebd70896b62f90ace9face1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -6\\cdot(4x^5-6x^3+8x^2-7) = \\bm{-24x^5+36x^3-48x^2+42}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"463\" style=\"vertical-align: -5px;\"><\/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>\u6c42\u89e3\u4ee5\u4e0b\u591a\u9879\u5f0f\u548c\u5355\u9879\u5f0f\u4e4b\u95f4\u7684\u4e58\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-df50faa770714f4103aa8dc60e152141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x \\cdot (5x^2+3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-762c5f0cf37df0a8c369ee984a31af27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -4x^2 \\cdot (6x^4-9x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" 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-d5f1f0d9cbc6c9e1681a3ff5388c912b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -5x^3\\cdot (-2x^3+2x^2-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"219\" 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-824570c27cee0bc747658a3787656c77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 3x^2\\cdot(7x^6-4x^5-x^3-3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u6c42\u89e3\u591a\u9879\u5f0f\u4e0e\u5355\u9879\u5f0f\u7684\u4e58\u6cd5\uff0c\u5fc5\u987b\u5c06\u6240\u8ff0\u5355\u9879\u5f0f\u4e58\u4ee5\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u3002\u6240\u4ee5\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-daea6b99a13b2ffe30a29038625c0a02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x \\cdot (5x^2+3) = 2x \\cdot 5x^2+2x\\cdot 3 = \\bm{10x^3+6x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"373\" 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-c103ea01b567a19443fb7838f496c221_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -4x^2 \\cdot (6x^4-9x^2)= -4x^2 \\cdot 6x^4 - 4x^2 \\cdot (-9x^2) = \\bm{-24x^6+36x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"524\" 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-a0139e2d94ec7f2a5cc7977b98dd5fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -5x^3\\cdot (-2x^3+2x^2-5) = \\bm{10x^6-10x^5+25x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"393\" 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-33e8cdad53a820136961a772110b145a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 3x^2\\cdot(7x^6-4x^5-x^3-3x) = \\bm{21x^8-12x^7-3x^5-9x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"447\" style=\"vertical-align: -5px;\"><\/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>\u786e\u5b9a\u4ee5\u4e0b\u591a\u9879\u5f0f\u4e4b\u95f4\u76f8\u4e58\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-c07caa45f98a46549dc6a287e17ef7de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (4x^2 + 1) \\cdot (3x^2-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" 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-9aa3b703bd962c40a809d7ab39cbcf71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (-3x^4+2x) \\cdot (5x^4-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"204\" 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-bc728e8353b0d812f089519ae3f5d0b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (2x^3-5x^2)\\cdot (4x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u8ba1\u7b97\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff0c\u6211\u4eec\u9700\u8981\u5c06\u7b2c\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u5143\u7d20\uff0c\u7136\u540e\u5c06\u76f8\u4f3c\u7684\u9879\u5206\u7ec4\u5728\u4e00\u8d77\u3002\u6240\u4ee5\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-51dbb4634996039c3b67ce506aef648c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l} (4x^2 + 1) \\cdot (3x^2-2) = \\\\[2ex] =4x^2 \\cdot 3x^2 +4x^2\\cdot (-2) +1 \\cdot 3x^2 +1 \\cdot (-2) = \\\\[2ex] = 12x^4-8x^2+3x^2 -2 = \\\\[2ex] = \\bm{12x^4-5x^2-2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"127\" width=\"475\" 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-fba45efd14a187f0eaa210f0561c68a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (-3x^4+2x) \\cdot (5x^4-x) = \\\\[2ex] =-3x^4\\cdot 5x^4 -3x^4\\cdot (-x) +2x \\cdot 5x^4 +2x \\cdot (-x) = \\\\[2ex] = -15x^8+3x^5+10x^5-2x^2 = \\\\[2ex] = \\bm{-15x^8+13x^5-2x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"511\" 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-32417206d212f4b5ee2a6fb53aa77f30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (2x^3-5x^2)\\cdot (4x-7) = \\\\[2ex] =2x^3\\cdot 4x +2x^3\\cdot (-7) -5x^2 \\cdot 4x -5x^2\\cdot (-7) = \\\\[2ex] = 8x^4-14x^3-20x^3+35x^2 = \\\\[2ex] = \\bm{8x^4-34x^3+35x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"495\" 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\u4e0b\u5217\u591a\u9879\u5f0f\u4e4b\u95f4\u76f8\u4e58\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-0188425573536d87f56b088fd732e7ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (4x^2-6x+2) \\cdot (5x^3-x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" 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-79ee0e2306fd0c362a95195b5ae595f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (3x^3-2x+7) \\cdot (-4x^3+5x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" 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-fbda9c61d3de18e430577d8e551f8717_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (9x^4-4x^3+x^2)\\cdot (2x^5-4x^4-5x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"303\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u8ba1\u7b97\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff0c\u6211\u4eec\u9700\u8981\u5c06\u7b2c\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e2a\u5143\u7d20\uff0c\u7136\u540e\u6dfb\u52a0\u7c7b\u4f3c\u7684\u9879\u3002\u6240\u4ee5\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-ba837feab91328dd1ac60093307a3691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l} (4x^2-6x+2) \\cdot (5x^3-x^2) = \\\\[2ex] =4x^2 \\cdot 5x^3 +4x^2\\cdot (-x^2) -6x \\cdot 5x^3 -6x \\cdot (-x^2) + 2 \\cdot 5x^3 +2 \\cdot (-x^2) = \\\\[2ex] = 20x^5-4x^4-30x^4+6x^3+10x^3-2x^2 = \\\\[2ex] = \\bm{20x^5-34x^4+16x^3-2x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"664\" 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-486aedf31fca13fd2b4af2c72a3b34a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (3x^3-2x+7) \\cdot (-4x^3+5x) = \\\\[2ex] =3x^3 \\cdot (-4x^3) +3x^3\\cdot 5x -2x \\cdot (-4x^3) -2x \\cdot 5x + 7 \\cdot (-4x^3) +7 \\cdot 5x = \\\\[2ex] =-12x^6+15x^4+8x^4-10x^2-28x^3+35x = \\\\[2ex] = \\bm{-12x^6+23x^4-28x^3-10x^2+35x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"667\" 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-81d28b9e6595a4e28d09d46bab74c467_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (9x^4-4x^3+x^2)\\cdot (2x^5-4x^4-5x^3) =  \\\\[2ex] = 18x^9-36x^8-45x^7-8x^8+16x^7+20x^6+2x^7-4x^6-5x^5 = \\\\[2ex] = \\bm{18x^9-44x^8-27x^7+16x^6-5x^5} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"611\" 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\u4e605<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u591a\u9879\u5f0f\u7684\u4e58\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-41814d65cc135f30a9afb3bc966962fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (2x^4+3x^3-6x^2+5x-1) \\cdot (4x^2-6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f234c4e22285b278743a244145b5d551_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\  (x^2-4x+7) \\cdot (-x^3-5x^2+2x+9)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" 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-752db4ceb3d2eb78444b8551b9068510_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (2x^7+6x^5+3x^4-5x^2)\\cdot (4x^6-8x^3-x^2+8)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"382\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u8ba1\u7b97 2 \u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u79ef\uff0c\u5fc5\u987b\u5c06\u7b2c\u4e00\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u4e58\u4ee5\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\uff0c\u7136\u540e\u5c06\u83b7\u5f97\u7684\u76f8\u4f3c\u5355\u9879\u5f0f\u5206\u7ec4\u3002\u7136\u800c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6d4bb6d12ab30b22cbb7cffc071093c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l}(2x^4+3x^3-6x^2+5x-1) \\cdot (4x^2-6x)=  \\\\[2ex] = 8x^6-12x^5+12x^5-18x^4-24x^4+36x^3+20x^3-30x^2-4x^2+6x  = \\\\[2ex] = \\bm{8x^6-42x^4+56x^3-34x^2+6x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"670\" 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-efacae5cc2c79ff47d4bca96ab082eb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (x^2-4x+7) \\cdot (-x^3-5x^2+2x+9)= \\\\[2ex] =-x^5-5x^4+2x^3+9x^2+4x^4+20x^3-8x^2-36x-7x^3-35x^2+14x+63 = \\\\[2ex] = \\bm{-x^5-x^4+15x^3-34x^2-22x+63} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"727\" 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-2b27ccbbd6344d296250e7dc9f3fbbbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (2x^7+6x^5+3x^4-5x^2)\\cdot (4x^6-8x^3-x^2+8) =  \\\\[2ex] = 8x^{13}-16x^{10}-2x^9+16x^7+24x^{11}-48x^8-6x^7+48x^5+ \\\\[2ex] + \\ 12x^{10}-24x^7-3x^6+24x^4-20x^8+40x^5+5x^4-40x^2  = \\\\[2ex] = \\bm{8x^{13}+24x^{11}-4x^{10}-2x^9-68x^8-14x^7-3x^6+} \\\\[2ex] \\bm{+ \\ 88x^5+29x^4-40x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"579\" 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\u4e606<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b 3 \u4e2a\u591a\u9879\u5f0f\u7684\u4e58\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-3744967e658727129d7b2bc4b4b61ce1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x^2-3) \\cdot (-5x^4+3x^2-6) \\cdot (9x^3-6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"309\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8be5\u95ee\u9898\u7684\u8fd0\u7b97\u7531 2 \u4e2a\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\u7ec4\u6210\uff0c\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u5b83\u7531\u4e24\u4e2a\u4e8c\u9879\u5f0f\u548c\u4e00\u4e2a\u4e09\u9879\u5f0f\u7ec4\u6210\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u9996\u5148\u6c42\u89e3\u4e58\u79ef\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u4e58\u4ee5\u5269\u4f59\u7684\u591a\u9879\u5f0f\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u6211\u4eec\u8ba1\u7b97\u7b2c\u4e00\u4e2a\u4e58\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-c9860e611d9fee24111ec42d5451366f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} (2x^2-3) \\cdot (-5x^4+3x^2-6) \\cdot (9x^3-6x) = \\\\[2ex] = \\bigl[-10x^6+6x^4-12x^2+15x^4-9x^2+18 \\bigr]\\cdot (9x^3-6x) = \\\\[2ex] = (-10x^6+21x^4-21x^2+18)\\cdot (9x^3-6x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u6c42\u89e3\u5269\u4f59\u7684\u4e58\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-a4280995c52ffc8cd833b76b72584c96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} (-10x^6+21x^4-21x^2+18)\\cdot (9x^3-6x)= \\\\[2ex] = -90x^9+60x^7+189x^7-126x^5-189x^5+126x^3+162x^3-108x \\\\[2ex] =\\bm{-90x^9+249x^7-315x^5+288x^3-108x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"514\" 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\u4e607<\/h3>\n<p>\u5c06\u4ee5\u4e0b\u591a\u9879\u5f0f\u4e0e\u6709\u7406\u7cfb\u6570\uff08\u5e26\u5206\u6570\uff09\u76f8\u4e58\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-11d24f04770e3eddbb35c4330f593994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( \\frac{1}{3}x^2- 4x \\right) \\cdot  \\left( 5x- \\frac{2}{7} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"184\" style=\"vertical-align: -17px;\"><\/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\">\u867d\u7136\u591a\u9879\u5f0f\u6709\u5206\u6570\uff0c\u4f46\u5b83\u4ecd\u7136\u662f\u4e24\u4e2a\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u4e58\u6cd5\u3002\u56e0\u6b64\uff0c\u5b83\u5fc5\u987b\u50cf\u4efb\u4f55\u591a\u9879\u5f0f\u4e58\u79ef\u4e00\u6837\u6c42\u89e3\uff1a\u5c06\u6240\u6709\u5143\u7d20\u76f8\u4e58\uff0c\u7136\u540e\u5c06\u76f8\u4f3c\u7684\u5355\u9879\u5f0f\u5206\u7ec4\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u591a\u9879\u5f0f\u76f8\u4e58\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-6e144cee08d9d9a02af24c2338c5d37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{l} \\displaystyle\\left( \\frac{1}{3}x^2- 4x \\right) \\cdot \\left( 5x- \\frac{2}{7} \\right) = \\\\[4ex] = \\displaystyle\\frac{1}{3}x^2 \\cdot 5x +\\frac{1}{3}x^2\\cdot \\left(- \\frac{2}{7} \\right) -4x \\cdot 5x - 4x \\cdot \\left(- \\frac{2}{7} \\right)  = \\\\[4ex] =\\displaystyle \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -20x^2+\\frac{8}{7} x\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"395\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u6dfb\u52a0\uff08\u6216\u51cf\u53bb\uff09\u5b57\u9762\u90e8\u5206\u76f8\u540c\u7684\u672f\u8bed\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-54b9cfbdee75b2c0d95499f25b6547ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -20x^2+\\frac{8}{7} x= \\\\[4ex] \\displaystyle= \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -\\frac{420}{21}x^2+\\frac{8}{7} x \\\\[4ex] \\displaystyle=\\mathbf{\\frac{5}{3}}\\bm{x^3} -\\mathbf{\\frac{422}{20}}\\bm{x^2}+\\mathbf{\\frac{8}{7}} \\bm{x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"225\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8981\u6210\u529f\u5b8c\u6210\u672c\u7ec3\u4e60\uff0c\u638c\u63e1\u5206\u6570\u8fd0\u7b97\u975e\u5e38\u91cd\u8981\u3002\u4f46\u5982\u679c\u60a8\u5bf9\u4efb\u4f55\u6b65\u9aa4\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u53ef\u4ee5\u5728\u8bc4\u8bba\u4e2d\u63d0\u95ee\uff0c\u6211\u4eec\u4f1a\u5c3d\u5feb\u7b54\u590d\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u591a\u9879\u5f0f\u5982\u4f55\u76f8\u4e58\u3002\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u591a\u9879\u5f0f\u4e58\u6cd5\u7684\u793a\u4f8b\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002\u6700\u540e\uff0c\u60a8\u5c06\u53d1\u73b0\u4e58\u6cd5\u591a\u9879\u5f0f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/\"> <span class=\"screen-reader-text\">\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff08\u6216\u4e58\u79ef\uff09<\/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":[16],"tags":[],"class_list":["post-53","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u5982\u4f55\u4e58\u591a\u9879\u5f0f\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09<\/title>\n<meta name=\"description\" content=\"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4e24\u79cd\u65b9\u6cd5\u7684\u89e3\u91ca\u3002 \u2705 \u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u4e58\u6cd5\uff08\u6216\u591a\u9879\u5f0f\u4e58\u79ef\uff09\u7684\u7ec3\u4e60\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u4e58\u6cd5-\u793a\u4f8b\u7ec3\u4e60-\u89e3\u51b3\u4e58\u79ef\u4e58\u6cd5\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u5982\u4f55\u4e58\u591a\u9879\u5f0f\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09\" \/>\n<meta property=\"og:description\" content=\"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4e24\u79cd\u65b9\u6cd5\u7684\u89e3\u91ca\u3002 \u2705 \u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u4e58\u6cd5\uff08\u6216\u591a\u9879\u5f0f\u4e58\u79ef\uff09\u7684\u7ec3\u4e60\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u4e58\u6cd5-\u793a\u4f8b\u7ec3\u4e60-\u89e3\u51b3\u4e58\u79ef\u4e58\u6cd5\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T07:27:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-multiplier-2-polynomes.png\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff08\u6216\u4e58\u79ef\uff09\",\"datePublished\":\"2023-09-17T07:27:21+00:00\",\"dateModified\":\"2023-09-17T07:27:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/\"},\"wordCount\":0,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u591a\u9879\u5f0f\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/\",\"name\":\"\u25b7 \u5982\u4f55\u4e58\u591a\u9879\u5f0f\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-09-17T07:27:21+00:00\",\"dateModified\":\"2023-09-17T07:27:21+00:00\",\"description\":\"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4e24\u79cd\u65b9\u6cd5\u7684\u89e3\u91ca\u3002 \u2705 \u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u4e58\u6cd5\uff08\u6216\u591a\u9879\u5f0f\u4e58\u79ef\uff09\u7684\u7ec3\u4e60\u3002\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff08\u6216\u4e58\u79ef\uff09\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 \u5982\u4f55\u4e58\u591a\u9879\u5f0f\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09","description":"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4e24\u79cd\u65b9\u6cd5\u7684\u89e3\u91ca\u3002 \u2705 \u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u4e58\u6cd5\uff08\u6216\u591a\u9879\u5f0f\u4e58\u79ef\uff09\u7684\u7ec3\u4e60\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u4e58\u6cd5-\u793a\u4f8b\u7ec3\u4e60-\u89e3\u51b3\u4e58\u79ef\u4e58\u6cd5\/","og_locale":"zh_CN","og_type":"article","og_title":"\u25b7 \u5982\u4f55\u4e58\u591a\u9879\u5f0f\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09","og_description":"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4e24\u79cd\u65b9\u6cd5\u7684\u89e3\u91ca\u3002 \u2705 \u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u4e58\u6cd5\uff08\u6216\u591a\u9879\u5f0f\u4e58\u79ef\uff09\u7684\u7ec3\u4e60\u3002","og_url":"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u4e58\u6cd5-\u793a\u4f8b\u7ec3\u4e60-\u89e3\u51b3\u4e58\u79ef\u4e58\u6cd5\/","article_published_time":"2023-09-17T07:27:21+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-multiplier-2-polynomes.png"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff08\u6216\u4e58\u79ef\uff09","datePublished":"2023-09-17T07:27:21+00:00","dateModified":"2023-09-17T07:27:21+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/"},"wordCount":0,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u591a\u9879\u5f0f"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/","url":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/","name":"\u25b7 \u5982\u4f55\u4e58\u591a\u9879\u5f0f\uff08\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff09","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-09-17T07:27:21+00:00","dateModified":"2023-09-17T07:27:21+00:00","description":"\u591a\u9879\u5f0f\u76f8\u4e58\u7684\u4e24\u79cd\u65b9\u6cd5\u7684\u89e3\u91ca\u3002 \u2705 \u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u4e58\u6cd5\uff08\u6216\u591a\u9879\u5f0f\u4e58\u79ef\uff09\u7684\u7ec3\u4e60\u3002","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e4%b9%98%e6%b3%95-%e7%a4%ba%e4%be%8b%e7%bb%83%e4%b9%a0-%e8%a7%a3%e5%86%b3%e4%b9%98%e7%a7%af%e4%b9%98%e6%b3%95\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff08\u6216\u4e58\u79ef\uff09"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/53","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=53"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/53\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=53"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=53"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}