{"id":5273,"date":"2022-02-06T17:03:35","date_gmt":"2022-02-06T09:03:35","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/more_about_polynomials\/%e7%90%86%e8%a7%a3%e5%9b%a0%e5%bc%8f%e5%ae%9a%e7%90%86\/"},"modified":"2022-04-06T03:16:42","modified_gmt":"2022-04-05T19:16:42","slug":"factor_theorem","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/more_about_polynomials\/factor_theorem\/","title":{"rendered":"\u7406\u89e3\u56e0\u5f0f\u5b9a\u7406"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5273\" class=\"elementor elementor-5273\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ac97bb0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ac97bb0\" 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-4d184802\" data-id=\"4d184802\" 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-77e9e599 elementor-widget elementor-widget-text-editor\" data-id=\"77e9e599\" 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>4.3 \u7406\u89e3 \u56e0\u5f0f\u5b9a\u7406 (Understand the Factor Theorem)<\/h2><p>\u5148\u55ba\u5ea6\u554f\u5927\u5bb6\u4e00\u500b\u554f\u984c\uff1a\u9ede\u89e3\u201c2\u4fc28\u5605\u56e0\u6578\u201d\uff1f<\/p><ul><li>\u6211\u8ad7\u591a\u6578\u4eba\u90fd\u6703\u7b54\uff1a \u56e0\u70ba \\(2 \\times 4=8\u3002<\/li><li>\u5481\u90fd\u5514\u53ef\u4ee5\u8b1b\u4fc2\u932f\u5605&#8230; \u53ea\u4fc2\u53e6\u4e00\u7a2e\u66f4\u597d\u5605\u8b1b\u6cd5\u4fc2 \u201c8\u53ef\u4ee5\u88ab2\u6574\u9664\u201d\uff08\u5373\u201c\u9664\u5f97\u76e1\u201d\uff09\u3002<ul><li>\u7576\u4e2d\u6240\u8b02\u5605\u201c\u9664\u5f97\u76e1\u201d \u5373\u4fc2\u201c\u9918\u6578 = 0\u201d\u3002<\/li><li>\u53ef\u80fd\u4f60\u6703\u554f\u9ede\u89e3\u5481\u8b1b\u597d\uff24\uff1f\u6211\u5605\u56de\u61c9\u4fc2\uff1a<ul><li>\u5982\u679c\u6211\u554f\u4f60\u201c\u9ede\u89e32\u4fc215556452215456456638\u5605\u56e0\u6578\u201d\uff0c\u4f60\u6703\u9ede\u7b54\uff1f<\/li><li>\u5514\u901a\u4f60\u771f\u4fc2\u8a08\u4e00\u6b21\u201c2\u966415556452215456456638\u4fc2\u5e7e\u591a\u201d\uff1f<br \/><br \/><\/li><\/ul><\/li><\/ul><\/li><\/ul><p>\u540c\u6a23\u9053\u7406\uff0c\u5982\u679c (ax + b) \u4fc2\u4e00\u500b\u591a\u9805\u5f0f f(x) \u5605\u56e0\u5f0f\uff0c\u6211\u5730\u53ef\u4ee5\u4f5c\u4ee5\u4e0b\u5605\u63a8\u8ad6\uff1a<\/p><ul><li>f(x) \u00f7 (ax + b) \u5605\u6642\u5019\uff0c\u9918\u6578\u4fc20\u3002<\/li><li>\u6839\u64da\u9918\u5f0f\u5b9a\u7406\uff0c\u5373\u4fc2\u201c f(-b\/a) = 0 \u201d\u3002<ul><li>\u53ea\u8981\u660e\u767d \u201c\u9ede\u89e3\u6435\u56e0\u5f0f\u5605\u6642\u5019\u8981\u7528\u9918\u6578\u4fc2\u7b49\u65bc\u96f6\u201d\u4f9d\u500b\u9053\u7406\u5c31\u5df2\u7d93\u53ef\u4ee5\u8a71\u5b78\u8b58\u201c\u56e0\u5f0f\u5b9a\u7406\u201d\uff01<\/li><\/ul><\/li><\/ul><p>\u56e0\u5f0f\u5b9a\u7406\u6240\u8b1b\u5605\u4fc2\uff1a<\/p><ul><li><span style=\"color: #ff0000;\"><strong>\u5c0d\u65bc\u4e00\u500b\u591a\u9805\u5f0ff(x)\uff0c\u5982f(-b\/a)=0\uff0c\u5247 (ax + b) \u662ff(x)\u7684\u56e0\u5f0f\u3002<\/strong><\/span><\/li><\/ul><p>\u00a0<\/p><p style=\"padding-left: 40px;\">\\(ax^2 + bx + c = 0 \\quad \\quad\u00a0 (\u7576\u4e2da, b, c\u70ba\u6578\u5b57) \\)<\/p><p style=\"padding-left: 40px;\">\\(\\begin{align}<br \/>&amp; 3x^2 + 2x &#8211; 1 = 0 \\quad \\quad \\quad {\\color{Red} \\leftarrow \u8003\u8a66\u6642\u5514\u8a72\u6284\u4e00\u6b21\u984c\u76ee } \\\\<br \/>&amp; x = \\dfrac{1}{3}\u00a0 \\quad \u6216 \\quad x = -1 \\quad \\quad \\quad {\\color{Red} \\leftarrow \u7559\u610f\u8981\u7528\u201c\u6216\u201d\u5206\u958b\u5169\u500b\u7b54\u6848 } \\\\<br \/>\\end{align}\\)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-216a1d7 elementor-widget elementor-widget-accordion\" data-id=\"216a1d7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3501\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-3501\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u4f8b\uff1a\t\\(f(x) = 2x^{3} + 3x^{2} - 3x \u2013 2\\)\u3002\u6c42f(1)\u3002\u7531\u6b64\uff0c\u56e0\u5f0f\u5206\u89e3 f(x)\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3501\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-3501\"><p>\u00a7 \u55baDSE\u5605\u591a\u9805\u5f0f\u56e0\u5f0f\u5206\u89e3\u984c\u76ee\u5165\u9762\uff0c\u6700\u591a\u53ea\u6703\u51fa\u5230\u201c\u4e09\u6b21\u65b9\u201d\u3002<\/p><p>\u597d\u591a\u6642\uff0c\u984c\u76ee\u6703\u5148\u201c\u63d0\u793a\u4f60\u7b2c\u4e00\u500b\u56e0\u5f0f\u4fc2\u54a9\u201d\u3002<\/p><ul><li>\u63d0\u793a\u5605\u65b9\u6cd5\u53ef\u4ee5\u55ba\u53eb\u4f60\u8b49\u660e(x \u2013 1)\u4fc2f(x)\u5605\u56e0\u5f0f\uff0c\u6216\u8005\u53eb\u4f60\u8a08f(1)\u3002<\/li><li>\u4e0d\u904e\u7121\u8ad6\u9ede\u4ffe\u63d0\u793a\u4f60\u90fd\u597d\uff0c\u90fd\u4fc2\u8b1b\u7dca\u8981\u7528\u201c\u56e0\u5f0f\u5b9a\u7406\u201d\uff08\u56e0\u70baf(1) = 0\uff0c\u6240\u4ee5(x \u2013 1)\u4fc2f(x)\u5605\u56e0\u5f0f\uff09\u3002<\/li><li>\u7559\u610f\uff0c\u5982\u679c\u4f60\u8a08\u5514\u5230f(1)=0\uff0c99%\u4fc2\u56e0\u70ba\u4f60\u8a08\u932f\u6578\u3002<\/li><\/ul><p>\u800c\u500b\u7b54\u6848\u53ef\u4ee5\u5481\u6a23\u5beb\uff1a<\/p><p style=\"padding-left: 40px;\">f(1) = 2(1)<sup>3<\/sup> + 3(1)<sup>2 <\/sup>\u2013 3(1) \u2013 2 = 0<br \/>\u2234\u6839\u64da\u56e0\u5f0f\u5b9a\u7406\uff0c (x-1) \u662f2x<sup>3<\/sup> + 3x<sup>2 <\/sup>&#8211; 3x \u2013 2\u7684\u56e0\u5f0f\u3002<br \/>\u2234\u30002x<sup>3<\/sup> + 3x<sup>2 <\/sup>&#8211; 3x \u2013 2 <br \/>= (x \u2013 1)(2x<sup>2<\/sup>+5x +2) <br \/>= (x \u2013 1)(2x + 1)(x + 2)<\/p><p>\u00a0<\/p><ul><li>\u8a3b\uff1a\u540c\u5b78\u55ba\u8a08\u4e0a\u9762\u689d\u6578\u5605\u6642\u5019\uff0c\u7b2c\u4e00\u6b65\u5c31\u4fc2\u55ba\u8349\u7a3f\u7d19\u5ea6\u7528\u9577\u9664\u6cd5\u8a08\uff1a2x<sup>3<\/sup> + 3x<sup>2 <\/sup>&#8211; 3x \u2013 2 \u00f7 x \u2013 1<ul><li>\u5927\u5bb6\u61c9\u8a72\u8a08\u5230\u9918\u6578\u4fc20\u3002\u4f46\u66f4\u91cd\u8981\u4fc2\u8a08\u5230\u500b\u5546\u6578\u7b49\u65bc 2x<sup>2<\/sup>+5x +2\u3002\u5481\u5c31\u53ef\u4ee5\u5beb\u4f4e\uff1a<br \/>2x<sup>3<\/sup> + 3x<sup>2 <\/sup>&#8211; 3x \u2013 2 = (x \u2013 1)(2x<sup>2<\/sup>+5x +2)<\/li><li>\u4e4b\u5f8c\u518d\u7528\u90e8\u8a08\u6578\u6a5f\u5605\u201c\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u201d\u7a0b\u5f0f\u5e6b\u4f60\u505a\u201c2x<sup>2<\/sup>+5x +2\u201d\u5605\u56e0\u5f0f\u5206\u89e3\uff0c\u5481\u5c31\u53ef\u4ee5\u518d\u5beb\u5230\u6700\u5f8c\u55f0\u4e00\u6b65\u3002<\/li><\/ul><\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\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-5eeefa28 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5eeefa28\" 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-3f10c365\" data-id=\"3f10c365\" 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-36fd0569 elementor-widget elementor-widget-text-editor\" data-id=\"36fd0569\" 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\/remainder_theorem\/\">\u9918\u5f0f\u5b9a\u7406<\/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-2461c1b1\" data-id=\"2461c1b1\" 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-4d470eca\" data-id=\"4d470eca\" 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-76c9e648 elementor-widget elementor-widget-text-editor\" data-id=\"76c9e648\" 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\/gcd_and_lcm_of_polynimials\/\">\u6700\u5927\u516c\u56e0\u5f0f\u548c\u6700\u5c0f\u516c\u500d\u5f0f<\/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-5d01e179\" data-id=\"5d01e179\" 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-5f158002 elementor-widget elementor-widget-sidebar\" data-id=\"5f158002\" 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 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&#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 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5353,"parent":5210,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-5273","page","type-page","status-publish","has-post-thumbnail","hentry","entry","has-media"],"yoast_head":"<!-- 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