{"id":54,"date":"2023-09-17T07:26:59","date_gmt":"2023-09-17T07:26:59","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e9%99%a4%e6%b3%95-%e4%be%8b%e5%ad%90-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0-%e9%99%a4%e6%b3%95\/"},"modified":"2023-09-17T07:26:59","modified_gmt":"2023-09-17T07:26:59","slug":"%e5%a4%9a%e9%a1%b9%e5%bc%8f%e9%99%a4%e6%b3%95-%e4%be%8b%e5%ad%90-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0-%e9%99%a4%e6%b3%95","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e9%99%a4%e6%b3%95-%e4%be%8b%e5%ad%90-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0-%e9%99%a4%e6%b3%95\/","title":{"rendered":"\u591a\u9879\u5f0f\u9664\u6cd5"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u9664\u591a\u9879\u5f0f\uff0c\u5305\u62ec\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\u4ee5\u53ca\u591a\u9879\u5f0f\u9664\u4ee5\u53e6\u4e00\u4e2a\u591a\u9879\u5f0f\u3002\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u793a\u4f8b\uff0c\u5e76\u901a\u8fc7\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u8fdb\u884c\u7ec3\u4e60\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u53d1\u73b0\u8be5\u591a\u9879\u5f0f\u8fd0\u7b97\u7684\u5c5e\u6027\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-polinomica-o-polinomial\"><\/span>\u591a\u9879\u5f0f\uff08\u6216\u591a\u9879\u5f0f\uff09\u9664\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6211\u4eec\u786e\u5207\u5730\u4e86\u89e3\u4e24\u4e2a\u591a\u9879\u5f0f\u5982\u4f55\u76f8\u9664\u4e4b\u524d\uff0c\u6211\u4eec\u5c06\u7b80\u8981\u56de\u987e\u4e00\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u6982\u5ff5\uff0c\u4ee5\u4fbf\u66f4\u5bb9\u6613\u7406\u89e3\u6211\u4eec\u5c06\u8981\u4f7f\u7528\u7684\u65b9\u6cd5\u3002<\/p>\n<p>\u591a\u9879\u5f0f\u9664\u6cd5\u6d89\u53ca\u56db\u4e2a\u591a\u9879\u5f0f\uff1a<\/p>\n<ul>\n<li><strong>\u80a1\u606f<\/strong>\uff1a\u9664\u591a\u9879\u5f0f\u3002<\/li>\n<li><strong>\u9664\u6570<\/strong>\uff1a\u9664\u4ee5\u88ab\u9664\u6570\u7684\u591a\u9879\u5f0f\u3002<\/li>\n<li><strong>\u5546<\/strong>\uff1a\u88ab\u9664\u6570\u9664\u4ee5\u9664\u6570\u7684\u7ed3\u679c\u3002<\/li>\n<li><strong>\u4f59\u6570<\/strong>\uff08\u6216\u6b8b\u5dee\uff09\uff1a\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u65f6\u5269\u4e0b\u7684\u591a\u9879\u5f0f\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-polynomes-en-ligne.jpg\" alt=\"\u5728\u7ebf\u591a\u9879\u5f0f\u9664\u6cd5\" class=\"wp-image-727\" width=\"384\" height=\"171\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u60a8\u8fd8\u5e94\u8be5\u77e5\u9053\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u9664\u6cd5\u6709\u4e24\u79cd\u7c7b\u578b\uff1a<\/p>\n<ul>\n<li><strong>\u591a\u9879\u5f0f\u7684\u7cbe\u786e\u9664\u6cd5<\/strong>\uff1a\u5f53\u4f59\u6570\u4e3a\u96f6\u65f6\uff0c\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u9664\u6cd5\u662f\u7cbe\u786e\u7684\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u591a\u9879\u5f0f\u88ab\u9664\u6570\u7b49\u4e8e\u9664\u6570\u4e58\u4ee5\u5546\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-03b0f25c6ee662a18b5b13eb01dfca53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b64\u5916\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u80a1\u606f<\/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-0170b983fcc648c0a50265cc7143c9ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u9664\u6570\u7684\u500d\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ab3160465c716f536f72ff05019a7fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"32\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u548c\u5546<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a600690e2f19c13f9420f114ce2783ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"36\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u540c\u6837\uff0c\u591a\u9879\u5f0f\u9664\u6570\u548c\u591a\u9879\u5f0f\u5546\u90fd\u662f\u88ab\u9664\u6570\u7684\u9664\u6570\u3002<\/p>\n<ul>\n<li><strong>\u591a\u9879\u5f0f\u7684\u6574\u6570\u9664\u6cd5<\/strong>\uff1a\u5728\u591a\u9879\u5f0f\u7684\u6574\u6570\uff08\u6216\u4e0d\u7cbe\u786e\uff09\u9664\u6cd5\u4e2d\uff0c\u4f59\u6570\u4e0d\u4e3a\u96f6 (0)\u3002\u90a3\u4e48\uff0c\u6ee1\u8db3\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u57fa\u672c\u6027\u8d28\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-2657eeecea1011960aa78859c32b354f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x) + R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u4e86\u89e3\u4e86\u4ec0\u4e48\u662f\u9664\u6cd5\u591a\u9879\u5f0f\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u9664\u6cd5\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6211\u4eec\u5c06\u9996\u5148\u89e3\u91ca\u591a\u9879\u5f0f\u548c\u5355\u9879\u5f0f\u4e4b\u95f4\u7684\u9664\u6cd5\uff0c\u7136\u540e\u89e3\u91ca\u4e24\u4e2a\u591a\u9879\u5f0f\u4e4b\u95f4\u7684\u9664\u6cd5\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-un-polinomio-entre-un-monomio\"><\/span>\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u5982\u4f55\u5c06\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\u4e4b\u524d\uff0c\u6211\u4eec\u9996\u5148\u56de\u987e\u4e00\u4e0b\u5355\u9879\u5f0f\u662f\u5982\u4f55\u9664\u4ee5\u5b83\u4eec\u7684\uff0c\u56e0\u4e3a\u6709\u5fc5\u8981\u77e5\u9053\u5b83\u624d\u80fd\u8fdb\u884c\u8fd9\u79cd\u7c7b\u578b\u7684\u591a\u9879\u5f0f\u8fd0\u7b97\u3002<\/p>\n<p>\u4e24\u4e2a\u5355\u9879\u5f0f\u76f8\u9664\u6d89\u53ca\u5c06\u5b83\u4eec\u7684\u7cfb\u6570\u5f7c\u6b64\u76f8\u9664\u4ee5\u53ca\u5b83\u4eec\u7684\u6587\u5b57\u90e8\u5206\u5f7c\u6b64\u76f8\u9664\uff0c\u5373\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u76f8\u9664\u5e76\u51cf\u53bb\u5177\u6709\u76f8\u540c\u57fa\u6570\u7684\u53d8\u91cf\u7684\u6307\u6570\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-2cd82fa96e7489279cd2a3dda6f307e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12x^5: 3x^2 =  \\cfrac{12x^5}{3x^2}=(12:3) x^{5-2} = 4x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"301\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u770b\u770b\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\u6d89\u53ca\u4ec0\u4e48\uff1a<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u5728\u6570\u5b66\u4e2d\uff0c\u4e3a\u4e86\u89e3\u51b3<strong>\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\u7684\u95ee\u9898\uff0c<\/strong>\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u90fd\u9664\u4ee5\u5355\u9879\u5f0f\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\/division-dun-polynome-par-un-monome.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\" class=\"wp-image-734\" width=\"332\" height=\"267\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u524d\u9762\u7684\u9664\u6cd5\u793a\u4f8b\u4e2d\uff0c\u9664\u5355\u9879\u5f0f\u6216\u591a\u9879\u5f0f\u65f6\uff0c\u8fd8\u5fc5\u987b\u8003\u8651\u7b26\u53f7\u89c4\u5219\u3002\u4e8b\u5b9e\u4e0a\uff0c\u591a\u9879\u5f0f\u548c\u5355\u9879\u5f0f\u9664\u6cd5\u4e2d\u4e00\u4e2a\u975e\u5e38\u5e38\u89c1\u7684\u9519\u8bef\u662f\u5f04\u9519\u4e86\u9879\u7684\u7b26\u53f7\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-un-polinomio-entre-otro-polinomio\"><\/span>\u591a\u9879\u5f0f\u9664\u4ee5\u53e6\u4e00\u4e2a\u591a\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u5c06\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\uff0c\u60a8\u9700\u8981\u9075\u5faa\u4e00\u4e2a\u8fc7\u7a0b\uff0c\u56e0\u6b64\u8ba9\u6211\u4eec\u901a\u8fc7\u9010\u6b65\u6c42\u89e3\u793a\u4f8b\u6765\u770b\u770b\u591a\u9879\u5f0f\u76f8\u9664\uff08\u4e5f\u79f0\u4e3a\u591a\u9879\u5f0f\u957f\u9664\u6cd5\uff09\u7684\u65b9\u6cd5\u662f\u4ec0\u4e48\u6837\u7684\uff1a<\/p>\n<ul>\n<li>\u8ba1\u7b97\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u591a\u9879\u5f0f\u4e4b\u95f4<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12d5846d8a96763047fb4c9f458420f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e24\u4e2a\u591a\u9879\u5f0f\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-ca77e74e7adc7c5d4ad240dde49f1cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^3+4x^2+12 \\qquad \\qquad Q(x) =x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"340\" 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-08a81d992ddcff769763ef2424236efe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{Q(x)} = \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"70\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u9996\u5148\u8981\u505a\u7684\u662f\u5c06\u591a\u9879\u5f0f\u8f6c\u5316\u4e3a\u9664\u6cd5\u5f62\u5f0f\u3002\u5728\u5de6\u8fb9\u6211\u4eec\u5199\u4e0b\u5206\u6570\u7684\u5206\u5b50\uff08\u88ab\u9664\u591a\u9879\u5f0f\uff09\uff0c\u5728\u53f3\u8fb9\u6211\u4eec\u5199\u4e0b\u5206\u6570\u7684\u5206\u6bcd\uff08\u9664\u6570\u591a\u9879\u5f0f\uff09\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\/comment-diviser-les-polynomes.jpg\" alt=\"\u5982\u4f55\u9664\u591a\u9879\u5f0f\" class=\"wp-image-740\" width=\"387\" height=\"39\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#fffde7\"><strong>\u8b66\u544a\uff1a<\/strong>\u5982\u679c\u591a\u9879\u5f0f\u6ca1\u6709\u4e00\u5b9a\u6b21\u6570\u7684\u5355\u9879\u5f0f\uff0c\u6211\u4eec\u5fc5\u987b\u5728\u5176\u4f4d\u7f6e\u7559\u4e00\u4e2a\u7a7a\u683c\u3002\u4f8b\u5982\uff0c\u591a\u9879\u5f0f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-742664589ea1a5ebbade880442ef5a31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"105\" style=\"vertical-align: -2px;\"><\/p>\n<p>\u6ca1\u6709\u7b2c\u4e00\u5e74\u5b66\u671f\uff0c\u56e0\u6b64\u6709\u4e00\u4e2a\u7a7a\u767d\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\/division-de-polynomes-quand-un-terme-manque.jpg\" alt=\"\u591a\u9879\u5f0f\u7f3a\u5931\u9879\u65f6\u7684\u9664\u6cd5\" class=\"wp-image-743\" width=\"387\" height=\"75\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4e00\u65e6\u6211\u4eec\u6709\u4e86\u591a\u9879\u5f0f\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u627e\u5230\u5546\u3002\u4e3a\u4e86\u627e\u5230\u5546\u7684\u7b2c\u4e00\u9879\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u88ab\u9664\u6570\u7684\u7b2c\u4e00\u9879\u9664\u4ee5\u9664\u6570\u7684\u7b2c\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\/regles-de-division-de-polynomes.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u89c4\u5219\" class=\"wp-image-744\" width=\"84\" height=\"58\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u7528\u9664\u6cd5\u7684\u7ed3\u679c\u4ee3\u66ff\u5546\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-polynomes-quotient-avec-x.jpg\" alt=\"\u5982\u4f55\u9664\u4e24\u4e2a\u591a\u9879\u5f0f\" class=\"wp-image-763\" width=\"387\" height=\"74\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u73b0\u5728\uff0c\u6211\u4eec\u5c06\u627e\u5230\u7684\u9879\u4e0e\u9664\u6570\u7684\u6bcf\u4e2a\u5143\u7d20\u76f8\u4e58\uff0c\u7136\u540e\u5c06\u6bcf\u4e2a\u7ed3\u679c\u653e\u5728\u76f8\u5e94\u5217\u7684\u88ab\u9664\u6570\u4e0b\u65b9<strong>\uff0c\u5e76\u66f4\u6539\u5176\u7b26\u53f7<\/strong>\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-32\">\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-polynomes-pas-a-pas.jpg\" alt=\"\u591a\u9879\u5f0f\u9010\u6b65\u9664\u6cd5\" class=\"wp-image-752\" width=\"420\" height=\"148\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/polynome-division-pas-a-pas.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u9010\u6b65\" class=\"wp-image-759\" width=\"420\" height=\"134\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4e0e\u591a\u9879\u5f0f\u7684\u6240\u6709\u8fd0\u7b97\u4e00\u6837\uff0c\u5c06\u591a\u9879\u5f0f\u4ece\u6700\u9ad8\u6b21\u5230\u6700\u4f4e\u6b21\u6392\u5e8f\u975e\u5e38\u91cd\u8981\uff0c\u4ee5\u4fbf\u76f8\u540c\u6b21\u6570\u7684\u6240\u6709\u9879\u90fd\u5728\u540c\u4e00\u5217\u4e2d\u3002<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u5c06\u4e58\u6cd5\u7ed3\u679c\u5e26\u76f8\u53cd\u7684\u7b26\u53f7\uff0c\u6211\u4eec\u9700\u8981\u6dfb\u52a0\u5782\u76f4\u5bf9\u9f50\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\/addition-soustraction-multiplication-et-division-de-polynomes.png\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u7b97\u6cd5\" class=\"wp-image-762\" width=\"450\" height=\"121\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8bf7\u6ce8\u610f\uff0c\u901a\u8fc7\u8fdb\u884c\u6b64\u6c42\u548c\uff0c\u6700\u9ad8\u6b21\u6570\u7684\u7cfb\u6570\u4f1a\u88ab\u62b5\u6d88\uff0c\u56e0\u6b64\uff0c\u6211\u4eec\u7684\u7ea2\u5229\u9879\u4f1a\u5c11\u4e00\u9879\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u91cd\u590d\u76f8\u540c\u7684\u8fc7\u7a0b\uff0c\u76f4\u5230\u591a\u9879\u5f0f\u88ab\u9664\u6570\u6bd4\u591a\u9879\u5f0f\u9664\u6570\u5c0f\u4e00\u7ea7\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u80a1\u606f\u7684\u7b2c\u4e00\u9879\u9664\u4ee5\u9664\u6570\u7684\u7b2c\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\/diviser-polynomes-par-monomes.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u4ee5\u5206\u6570\" class=\"wp-image-765\" width=\"106\" height=\"61\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u5c06\u7ed3\u679c\u653e\u5165\u5546\u4e2d\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\/diviser-avec-des-polynomes.jpg\" alt=\"\u7528\u591a\u9879\u5f0f\u9664\" class=\"wp-image-766\" width=\"450\" height=\"120\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u548c\u4ee5\u524d\u4e00\u6837\uff0c\u6211\u4eec\u5c06\u5546\u7684\u65b0\u9879\u4e58\u4ee5\u9664\u6570\u7684\u6bcf\u4e2a\u5143\u7d20\uff0c\u5e76\u5c06\u76f8\u53cd\u7b26\u53f7\u7684\u7ed3\u679c\u653e\u5165\u88ab\u9664\u6570\u7684\u76f8\u5e94\u5217\u4e2d\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\/diviser-deux-polynomes-par-des-polynomes-2.jpg\" alt=\"\u7528\u591a\u9879\u5f0f\u9664\u591a\u9879\u5f0f\" class=\"wp-image-785\" width=\"450\" height=\"157\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u5782\u76f4\u6dfb\u52a0\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/diviser-des-fractions-de-polynomes-2.jpg\" alt=\"\u591a\u9879\u5f0f\u7684\u5206\u6570\u76f8\u9664\" class=\"wp-image-786\" width=\"450\" height=\"197\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u88ab\u9664\u6570\u591a\u9879\u5f0f\u4ecd\u7136\u4e0d\u6bd4\u9664\u6570\u591a\u9879\u5f0f\u5c0f\u4e00\u7ea7\uff0c\u6240\u4ee5\u6211\u4eec\u9700\u8981\u7ee7\u7eed\u505a\u540c\u6837\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u9996\u5148\u6211\u4eec\u5c06\u88ab\u9664\u6570\u7684\u7b2c\u4e00\u9879\u9664\u4ee5\u9664\u6570\u7684\u7b2c\u4e00\u9879\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u4e58\u4ee5\u9664\u6570\u7684\u6bcf\u4e00\u9879\uff0c\u7136\u540e\u5c06\u4fee\u6539\u540e\u7684\u7ed3\u679c\u5e26\u5165\u88ab\u9664\u6570\u4e2d\uff0c\u6700\u540e\u5782\u76f4\u76f8\u52a0\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-deux-polynomes-ou-plus-2.jpg\" alt=\"\u4e24\u4e2a\u6216\u591a\u4e2a\u591a\u9879\u5f0f\u76f8\u9664 2\" class=\"wp-image-787\" width=\"450\" height=\"269\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6240\u4ee5\u6211\u4eec\u5df2\u7ecf\u5f97\u5230\u88ab\u9664\u6570\u7684\u591a\u9879\u5f0f\u7684\u6b21\u6570\u5c0f\u4e8e\u9664\u6570\u7684\u6b21\u6570\uff0c\u56e0\u4e3a\u88ab\u9664\u6570\u7684\u6b21\u6570\u4e3a0\uff0c\u9664\u6570\u7684\u6b21\u6570\u4e3a1\u3002\u56e0\u6b64\uff0c\u9664\u6cd5\u5b8c\u6210\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\/degres-dune-division-de-polynomes-2.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u6b21\u6570\" class=\"wp-image-779\" width=\"486\" height=\"343\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u9664\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-d-une-division-de-polynomes.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u7ed3\u679c\" class=\"wp-image-781\" width=\"246\" height=\"86\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u53ef\u4ee5\u6839\u636e\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u57fa\u672c\u6761\u4ef6\u6765\u9a8c\u8bc1\u6211\u4eec\u662f\u5426\u6b63\u786e\u5730\u6267\u884c\u4e86\u591a\u9879\u5f0f\u9664\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2657eeecea1011960aa78859c32b354f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x) + R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"199\" 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-6fcec7b5468a6c0bb572121a522abbf8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12=(x-4) \\cdot (x^2+8x+32) + 140\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"357\" 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-b75f816888653ede8543a9d100f669fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12=x^3+8x^2+32x-4x^2-32x-128+ 140\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"440\" style=\"vertical-align: -2px;\"><\/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-f4d7efc7a1bf11053fb42685599f5cd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+12=x^3+4x^2+12\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"234\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u2705<\/p>\n<p>\u6ee1\u8db3\u65b9\u7a0b\uff0c\u56e0\u6b64\u591a\u9879\u5f0f\u9664\u6cd5\u6b63\u786e\u6267\u884c\u3002<\/p>\n<p>\u8fd9\u6837\u6211\u4eec\u5c31\u5b8c\u6210\u4e86\u591a\u9879\u5f0f\u9664\u6cd5\uff0c\u6211\u4eec\u5e0c\u671b\u80fd\u591f\u5e2e\u52a9\u60a8\u89e3\u91ca\u8fd9\u4e00\u70b9\u3002\u60a8\u5bf9\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u770b\u6cd5\u5982\u4f55\uff1f\u4f60\u6709\u7591\u95ee\u5417\uff1f\u4f60\u559c\u6b22\u5b83\uff1f\u6216\u8005\u60a8\u5e0c\u671b\u591a\u9879\u5f0f\u9664\u6cd5\u4e0d\u5b58\u5728\uff1f \ud83d\ude02 \u6211\u4eec\u5728\u8bc4\u8bba\u4e2d\u8bfb\u5230\u4e86\u4f60\u7684\u4fe1\u606f\uff01 \ud83d\udc47\ud83d\udc47\ud83d\udc47 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-division-de-polinomios\"><\/span>\u9664\u6cd5\u591a\u9879\u5f0f\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4efb\u4f55\u591a\u9879\u5f0f\u9664\u6cd5\u90fd\u6ee1\u8db3\u4ee5\u4e0b\u7279\u5f81\uff1a<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong>\u591a\u9879\u5f0f\u88ab\u9664\u6570\u7684\u6b21\u6570\u5fc5\u987b\u59cb\u7ec8\u5927\u4e8e\u591a\u9879\u5f0f\u9664\u6570\u7684\u6b21\u6570\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-d2b2ef1b20f409f0d0dffe0311c2b415_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{grado } D(x) >\\text{grado } d(x)&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;193&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong>\u591a\u9879\u5f0f\u88ab\u9664\u6570\u7684\u6b21\u6570\u7b49\u4e8e\u9664\u6570\u548c\u5546\u7684\u6b21\u6570\u4e4b\u548c\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-aafc5d6c5e45ff5f6ee0b0d21043650c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{grado } D(x) =\\text{grado } d(x)+\\text{grado } c(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong>\u4f59\u6570\u7684\u6b21\u6570\u59cb\u7ec8\u5c0f\u4e8e\u9664\u6570\u7684\u6b21\u6570\uff08\u56e0\u6b64\u4e5f\u5c0f\u4e8e\u88ab\u9664\u6570\u7684\u6b21\u6570\uff09\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-5cc6e7e89649c55e9d30a82abaf8a37b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{grado } R(x) <\\text{grado } d(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <strong><span style=\"color:#ff5733;\">\u2713<\/span><\/strong>\u88ab\u9664\u6570\u7b49\u4e8e\u9664\u6570\u4e58\u4ee5\u5546\u7684\u4e58\u79ef\u52a0\u4e0a\u4f59\u6570\u3002\u8fd9\u4e2a\u6761\u4ef6\u4e5f\u653e\u5728\u6570\u7684\u9664\u6cd5\u4e2d\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-2657eeecea1011960aa78859c32b354f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(x)=d(x) \\cdot c(x) + R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-division-de-polinomios\"><\/span>\u89e3\u51b3\u4e86\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u786e\u5b9a\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\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-35e9fb18793954cb42af226f0a0e3935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(15x^5+9x^3 \\right) : \\left(3x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"154\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u5c06\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\uff0c\u60a8\u5fc5\u987b\u6c42\u89e3\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u9664\u4ee5\u6240\u8ff0\u5355\u9879\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffa558b26adc36e2ac45a842a6cf33df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left(15x^5+9x^3 \\right) : \\left(3x^2\\right) &amp; =  \\cfrac{15x^{5}}{3x^2}+ \\cfrac{9x^3}{3x^2} \\\\[2ex] &amp; = \\bm{5x^3+3x} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u8bb0\u4f4f\uff0c\u5728\u5355\u9879\u5f0f\u4e4b\u95f4\u8fdb\u884c\u9664\u6cd5\u65f6\uff0c\u7cfb\u6570\u4f1a\u5728\u5b83\u4eec\u4e4b\u95f4\u76f8\u9664\uff0c\u5e76\u51cf\u53bb\u5e95\u6570\u76f8\u540c\u7684\u5e42\u7684\u6307\u6570\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f30a614f1cf21418258b08ced9d4c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( 16x^5-4x^3-20x^2 \\right) : \\left(4x^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"211\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u5c06\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\uff0c\u60a8\u5fc5\u987b\u5c06\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u9664\u4ee5\u6240\u8ff0\u5355\u9879\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-868da1546d3e4d33e8226774020cbb2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left( 16x^5-4x^3-20x^2 \\right) : \\left(4x^2\\right) &amp; =  \\cfrac{16x^5}{4x^2}+ \\cfrac{-4x^3}{4x^2} + \\cfrac{-20x^2}{4x^2} \\\\[2ex] &amp; = \\bm{4x^3-x-5} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"79\" width=\"428\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u8bb0\u4f4f\uff0c\u5728\u5355\u9879\u5f0f\u9664\u6cd5\u4e2d\uff0c\u7cfb\u6570\u5f7c\u6b64\u76f8\u9664\uff0c\u5e76\u51cf\u53bb\u5177\u6709\u76f8\u540c\u5e95\u6570\u7684\u5e42\u7684\u6307\u6570\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fd0d169a07a40153ad63f4f8e4ba0a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(12x^{10}-30x^7-18x^6+54x^4  \\right) : \\left(-6x^3\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"298\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u5c06\u591a\u9879\u5f0f\u9664\u4ee5\u5355\u9879\u5f0f\uff0c\u60a8\u5fc5\u987b\u6c42\u89e3\u591a\u9879\u5f0f\u7684\u6bcf\u4e00\u9879\u9664\u4ee5\u6240\u8ff0\u5355\u9879\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8d5fe46b397f2f531a865e7cb0df3cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left(12x^{10}-30x^7-18x^6+54x^4  \\right) : \\left(-6x^3\\right) &amp; =  \\cfrac{12x^{10}}{-6x^3}+ \\cfrac{-30x^{7}}{-6x^3} + \\cfrac{-18x^6}{-6x^3} + \\cfrac{54x^4}{-6x^3} \\\\[2ex] &amp; = \\bm{-2x^7+5x^4+3x^3-9x} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"82\" width=\"594\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u8bb0\u4f4f\uff0c\u9664\u6cd5\u5355\u9879\u5f0f\u662f\u8d1f\u6570\uff0c\u56e0\u6b64\u6240\u6709\u9664\u6cd5\u7684\u7b26\u53f7\u90fd\u4f1a\u6539\u53d8\u3002<\/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>\u5bf9\u591a\u9879\u5f0f\u6267\u884c\u4ee5\u4e0b\u9664\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-459044ab33c7382f69a6251d5f09fa71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^4+x^3-x^2+x+1}{x^3-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"160\" style=\"vertical-align: -12px;\"><\/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\u9664\u591a\u9879\u5f0f\uff0c\u60a8\u5fc5\u987b\u5e94\u7528\u4e0a\u9762\u89e3\u91ca\u7684\u65b9\u6cd5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-division-de-polynomes.jpg\" alt=\"\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u4f8b\u5b50\" class=\"wp-image-798\" width=\"483\" height=\"175\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\">\u5546\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-cc79ac27a4802ea8e5f0a37a6889212b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\u4f11\u606f\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-86c972d4f666d78aa0caa96bce5e0003_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x^2+6x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"102\" style=\"vertical-align: -2px;\"><\/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\u9664\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff119dac6918e0daa7af247ccf97f4f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2x^3-3x^2-5x-5}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"147\" style=\"vertical-align: -12px;\"><\/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\">\u4e3a\u4e86\u89e3\u51b3\u591a\u9879\u5f0f\u9664\u4ee5\u4e8c\u9879\u5f0f\u7684\u95ee\u9898\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u4e0a\u9762\u770b\u5230\u7684\u65b9\u6cd5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-pas-a-pas-de-division-de-polynomes.png\" alt=\"\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u7ec3\u4e60\" class=\"wp-image-799\" width=\"466\" height=\"240\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u7ed3\u679c\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\">\u5546\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-ae37fa4e1a18724aca2a10c9ec7f7230_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2+x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\u4f11\u606f\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-2981688f5b26fd15fa08c897afa741ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-11\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e606<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u591a\u9879\u5f0f\u9664\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f864673bfbdbe68cb2c6df50c72c57bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^4+x^2+3}{x^3+3x^2+2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"107\" style=\"vertical-align: -14px;\"><\/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\u7684\u9664\u6cd5\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u89e3\u91ca\u7684\u65b9\u6cd5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-division-de-2-polynomes.png\" alt=\"2 \u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u793a\u4f8b\" class=\"wp-image-804\" width=\"485\" height=\"177\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\u662f\uff1a<\/p>\n<p class=\"has-text-align-center\">\u5546\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-193c295d8fc62eac0984aa4fc668bf9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\u4f11\u606f\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-46cbad1fed9a167108eda3fcea052e57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^2+6x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"98\" style=\"vertical-align: -2px;\"><\/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>\u6c42\u4ee5\u4e0b 2 \u4e2a\u591a\u9879\u5f0f\u76f8\u9664\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-988beca7ee36a80a9eb563823d0a961c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^4-2x^3+x^2-x-3}{x^2+x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"168\" style=\"vertical-align: -14px;\"><\/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\u9664\u4ee5\u4e09\u9879\u5f0f\uff0c\u60a8\u5fc5\u987b\u5e94\u7528\u4ee5\u4e0b\u65b9\u6cd5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/diviser-polynomes-exercices.png\" alt=\"\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u9664\u6cd5\u7684\u7ec3\u4e60\" class=\"wp-image-808\" width=\"505\" height=\"235\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u9664\u7684\u7ed3\u679c\u662f\uff1a<\/p>\n<p 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