{"id":5238,"date":"2022-02-06T11:32:19","date_gmt":"2022-02-06T03:32:16","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/exponential_n_logarithmic_functions\/development_of_the_concepts_of_logarithms-2\/"},"modified":"2022-04-06T03:16:30","modified_gmt":"2022-04-05T19:16:30","slug":"division_of_polynomials","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/more_about_polynomials\/division_of_polynomials\/","title":{"rendered":"\u591a\u9805\u5f0f\u9664\u6cd5"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5238\" class=\"elementor elementor-5238\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6e6d9785 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6e6d9785\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-41dc1ba6\" data-id=\"41dc1ba6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f85ef80 elementor-widget elementor-widget-text-editor\" data-id=\"f85ef80\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>4.1 \u9032\u884c \u591a\u9805\u5f0f\u9664\u6cd5 (Perform Division of Polynomials)<\/h2><ul><li>\u55ba\u6587\u6191\u6578\u5b78\u5165\u9762\u8981\u7528\u5230\u201c\u591a\u9805\u5f0f\u9664\u6cd5\u201d\u5605\u5730\u65b9\u5514\u591a\u3002<ul><li>\u5341\u5c45\u5176\u4e5d\u4fc2\u55ba\u8003\u201c\u9918\u5f0f\u5b9a\u7406\u201d(Remainder Theorem)\u6642\u56e0\u70ba\u8981\u505a\u56e0\u5f0f\u5206\u89e3(Factorization)\uff0c\u6240\u4ee5\u5148\u6703\u7528\u5230\u591a\u9805\u5f0f\u9664\u6cd5\u3002<\/li><\/ul><\/li><li>\u591a\u9805\u5f0f\u9664\u6cd5 \u5176\u5be6\u540c\u5c0f\u5b78\u6642\u5b78\u9664\u6578\u5605\u9577\u9664\u6cd5\u5dee\u4e0d\u591a(\ud842\ude64\u7406\u53ef\u4ee5\u8a71\u4fc2\u4e00\u6a23)\u3002<ul><li>\u6211\u54cb\u5148\u569f\u6eab\u4e00\u6eab\u201c\u9577\u9664\u6cd5\u201d\u3002<br \/><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone size-full wp-image-5243\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/long_division.webp\" alt=\"\u9577\u9664\u6cd5\" width=\"347\" height=\"329\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/long_division.webp 347w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/long_division-300x284.webp 300w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><\/li><li>\u7747\u5b8c\u4e0a\u9762\u5605\u201c\u9577\u9664\u6cd5\u201d\u7b97\u5f0f\u5f8c\u6700\u597d\u651e\u5f35\u7d19\u51fa\u569f\u81ea\u5df1\u8a66\u505a\u4e00\u6b21\uff1a<br \/><br \/><\/li><\/ul><\/li><li>\u8981\u8b1b \u591a\u9805\u5f0f\u9664\u6cd5 \uff0c\u6700\u597d\u5c31\u4fc2\u7528\u4e00\u500b\u4f8b\u5b50\u505a\u793a\u7bc4\u3002<br \/><ul><li>\u4f8b\uff1a\u4ee5\u9577\u9664\u6cd5\u8a08\u7b97 4x<sup>3<\/sup> \u2013 2x<sup>2 <\/sup>+ 4x \u2013 6 \u00f7 2x \u2013 3\u3002<br \/>\u7b54\uff1a<br \/><img decoding=\"async\" class=\"alignnone size-full wp-image-5244\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/division_of_polynomials.webp\" alt=\"\u591a\u9805\u5f0f\u9664\u6cd5\" width=\"667\" height=\"274\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/division_of_polynomials.webp 667w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/division_of_polynomials-300x123.webp 300w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><\/li><\/ul><\/li><\/ul><p><span style=\"color: #3366ff;\">\u5e0c\u671b\u5927\u5bb6\u90fd\u7747\u5b8c\u4e0a\u9762\u5e45\u201c\u591a\u9805\u5f0f\u9664\u6cd5\u7b97\u5f0f\u201d\u5716\u5f8c\u53ef\u4ee5\u611f\u53d7\u5230\u591a\u9805\u5f0f\u9664\u6cd5\u5176\u5be6\u540c\u6574\u6578\u9577\u9664\u6cd5\u5605\u505a\u6cd5\u4fc2\u5927\u540c\u5c0f\u7570\u5605\u3002<\/span><\/p><ul><li>\u9664\u5497\u5b78\u9577\u9664\u6cd5\u4e4b\u5916\uff0c\u540c\u5b78\u4ea6\u8981\u7559\u610f\u7576\u4e00\u500b\u591a\u9805\u5f0f\u88ab (ax + b) \u9664\u5605\u6642\u5019\uff0c\u500b\u9918\u5f0f\u53ea\u6703\u4fc2\u4e00\u500b\u6578\u5b57\uff0c\u6240\u4ee5\u597d\u591a\u6642\u5019\u6211\u54cb\u90fd\u53ea\u4fc2\u53eb\u201c\u4f9d\u500b\u60c5\u5f62\u4e0b\u5605\u9918\u5f0f\u201d\u505a\u201c\u9918\u6578\u201d\u3002<ul><li>\u800c\u5982\u679c\u4e00\u500b\u591a\u9805\u5f0f\u88ab (ax<sup>2<\/sup> + bx + c) \u9664\u5605\u6642\u5019\uff0c\u500b\u9918\u5f0f\u5c31\u6703\u4fc2 (ax + b)\u3002<ul><li>\u7559\u610f\uff1a\u201cax + b\u201d\u5165\u9762\u5605a\u4ea6\u53ef\u4ee5\u7b49\u65bc\u96f6\u3002\u5481\u500b\u9918\u5f0f\u5c31\u53ea\u6703\u4fc2\u4e00\u500b\u6578\u5b57\u3002<\/li><\/ul><\/li><li>\u5176\u5be6\u4ee5\u4e0a\u9053\u7406\u5c31\u597d\u4f3c\u6578\u5b57\u9664\u6578\u5b57\u5481\uff0c\u500b\u9918\u6578\u4e00\u5b9a\u6703\u7d30\u904e\u500b\u9664\u6578\u3002<ul><li>\u800c\u55ba\u591a\u9805\u5f0f\u9664\u6cd5\u5165\u9762\uff0c\u500b\u9918\u6578\u5605\u6b21\u65b9\u4e00\u5b9a\u6703\u6bd4\u9664\u6578\u7d30\u3002<\/li><\/ul><\/li><\/ul><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-332e54b4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"332e54b4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-181cbc7b\" data-id=\"181cbc7b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5673dee5 elementor-widget elementor-widget-text-editor\" data-id=\"5673dee5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i>\u00a0<a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/more_about_polynomials\/\">\u7e8c\u591a\u9805\u5f0f &#8211; \u6eab\u7fd2<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3d104953\" data-id=\"3d104953\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-7ccfedd6\" data-id=\"7ccfedd6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-514f5aac elementor-widget elementor-widget-text-editor\" data-id=\"514f5aac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/more_about_polynomials\/remainder_theorem\/\">\u9918\u5f0f\u5b9a\u7406<\/a>\u00a0<i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4bfd21bc\" data-id=\"4bfd21bc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-20775dbc elementor-widget elementor-widget-sidebar\" data-id=\"20775dbc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"sidebar-box widget-oceanwp-custom-menu custom-menu-widget clr\"><style type=\"text\/css\">.ocean_custom_menu-5 > ul > li > a, .custom-menu-widget .ocean_custom_menu-5 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-5.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">DSE\u6578\u5b78 &#8211; \u5fc5\u4fee\u90e8\u5206\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-5 left dropdown-hover\"><ul id=\"menu-dsemaths_core\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1744\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1744\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/course-analysis\/\" class=\"menu-link\">\u8ab2\u7a0b\u5206\u6790 (Core)<\/a><\/li>\n<li  id=\"menu-item-1745\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children dropdown menu-item-1745\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/\" class=\"menu-link\">\u5514\u597d\u4ee5\u70ba\u5514\u99db\u8003 &#8211; \u76ee\u9304 <span class=\"nav-arrow fa fa-angle-down\"><\/span><\/a>\n<ul class=\"sub-menu\">\n\t<li  id=\"menu-item-4067\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4067\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation\/\" class=\"menu-link\">1. \u89e3\u65b9\u7a0b<\/a><\/li>\n\t<li  id=\"menu-item-4068\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4068\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/polynomials\/\" class=\"menu-link\">2. \u591a\u9805\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4069\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4069\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/laws-of-indices\/\" class=\"menu-link\">3. \u6307\u6578\u5b9a\u5f8b<\/a><\/li>\n\t<li  id=\"menu-item-4070\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4070\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/factorization\/\" class=\"menu-link\">4. \u56e0\u5f0f\u5206\u89e3<\/a><\/li>\n\t<li  id=\"menu-item-4071\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4071\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae\/\" class=\"menu-link\">5. \u516c\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4072\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4072\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/percentage\/\" class=\"menu-link\">6. \u767e\u5206\u6cd5<\/a><\/li>\n\t<li  id=\"menu-item-4073\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4073\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/rate-and-ratio\/\" class=\"menu-link\">7. \u7387\u53ca\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4074\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4074\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/functions\/\" class=\"menu-link\">8. \u51fd\u6578<\/a><\/li>\n\t<li  id=\"menu-item-4075\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4075\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/estimation\/\" class=\"menu-link\">9. \u4f30\u7b97<\/a><\/li>\n\t<li  id=\"menu-item-4076\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4076\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/inequalities\/\" class=\"menu-link\">10. \u4e0d\u7b49\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4077\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4077\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/coordinates\/\" class=\"menu-link\">11. \u5750\u6a19<\/a><\/li>\n\t<li  id=\"menu-item-4079\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4079\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/geometry\/\" class=\"menu-link\">12. \u6f14\u7e79\u63a8\u7406\u5e7e\u4f55<\/a><\/li>\n\t<li  id=\"menu-item-4080\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4080\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/trigonometry\/\" class=\"menu-link\">13. \u4e09\u89d2\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4081\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4081\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/shapes\/\" class=\"menu-link\">14. \u5e73\u9762\u53ca\u7acb\u9ad4\u5716\u5f62<\/a><\/li>\n\t<li  id=\"menu-item-4082\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4082\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/15-probability\/\" class=\"menu-link\">15. \u6982\u7387<\/a><\/li>\n\t<li  id=\"menu-item-4083\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4083\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/16-statistics\/\" class=\"menu-link\">16. \u7d71\u8a08<\/a><\/li>\n<\/ul>\n<\/li>\n<li  id=\"menu-item-3231\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3231\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3241\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3241\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3246\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3246\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_data_handling\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u64da\u8655\u7406<\/a><\/li>\n<li  id=\"menu-item-3290\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3290\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3288\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3288\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental-shape_n_space\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3289\" class=\"menu-item 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