{"id":53,"date":"2023-09-17T07:27:21","date_gmt":"2023-09-17T07:27:21","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%b9%97%e7%ae%97%e3%81%ae%e4%be%8b-%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%8f-%e7%a9%8d%e3%81%ae%e4%b9%97%e7%ae%97\/"},"modified":"2023-09-17T07:27:21","modified_gmt":"2023-09-17T07:27:21","slug":"%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%b9%97%e7%ae%97%e3%81%ae%e4%be%8b-%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%8f-%e7%a9%8d%e3%81%ae%e4%b9%97%e7%ae%97","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%b9%97%e7%ae%97%e3%81%ae%e4%be%8b-%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%8f-%e7%a9%8d%e3%81%ae%e4%b9%97%e7%ae%97\/","title":{"rendered":"\u591a\u9805\u5f0f\u306e\u4e57\u7b97 (\u307e\u305f\u306f\u7a4d)"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306e\u4f8b\u3084\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u4e57\u7b97\u591a\u9805\u5f0f\u306e\u7279\u6027\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u767a\u898b\u3057\u307e\u3059\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=\"\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u65b9\u6cd5\" class=\"wp-image-586\" width=\"216\" height=\"217\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u305f\u3060\u3057\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306e\u6982\u5ff5\u3092\u5b8c\u5168\u306b\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u6700\u3082\u57fa\u672c\u7684\u306a\u3082\u306e\u304b\u3089\u6700\u3082\u8907\u96d1\u306a\u3082\u306e\u306b\u9032\u307f\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u591a\u9805\u5f0f\u306b\u6570\u5024\u3092\u4e57\u7b97\u3059\u308b\u65b9\u6cd5\u304b\u3089\u59cb\u3081\u3066\u3001\u6b21\u306b\u591a\u9805\u5f0f\u306b\u6b21\u306e\u5024\u3092\u4e57\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u5358\u9805\u5f0f\u3001\u305d\u3057\u3066\u6700\u5f8c\u306b\u30012 \u3064\u4ee5\u4e0a\u306e\u591a\u9805\u5f0f\u3092\u639b\u3051\u5408\u308f\u305b\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u9806\u5e8f\u306b\u5f93\u3046\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u304c\u3001\u524d\u306e\u591a\u9805\u5f0f\u306e\u6f14\u7b97\u3092\u3059\u3067\u306b\u30de\u30b9\u30bf\u30fc\u3057\u3066\u3044\u308b\u3068\u601d\u308f\u308c\u308b\u5834\u5408\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u591a\u9805\u5f0f\u9593\u306e\u4e57\u7b97\u306b\u76f4\u63a5\u9032\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-numero\"><\/span>\u591a\u9805\u5f0f\u306b\u6570\u5024\u3092\u4e57\u7b97\u3057\u307e\u3059<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30b9\u30ab\u30e9\u30fc (\u307e\u305f\u306f\u6570\u5024) \u3068\u591a\u9805\u5f0f\u306e\u7a4d\u306f\u975e\u5e38\u306b\u7c21\u5358\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u3001<strong>\u6570\u5024\u306b\u591a\u9805\u5f0f\u306e\u5404\u9805\u306e\u4fc2\u6570\u3092\u4e57\u7b97\u3059\u308b<\/strong>\u3060\u3051\u3067\u3059\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=\"\u591a\u9805\u5f0f\u306b\u3088\u308b\u6570\u5024\u306e\u4e57\u7b97\" class=\"wp-image-593\" width=\"305\" height=\"150\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u62ec\u5f27\u306e\u524d\u306e\u4e57\u7b97\u8a18\u53f7\u306f\u7701\u7565\u3067\u304d\u307e\u3059\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\u9805\u5f0f\u3068\u5358\u9805\u5f0f\u306e\u4e57\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u3068\u5358\u9805\u5f0f\u306e\u4e57\u7b97\u65b9\u6cd5\u3092\u8aac\u660e\u3059\u308b\u524d\u306b\u3001\u3053\u306e\u7a2e\u306e\u591a\u9805\u5f0f\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u5358\u9805\u5f0f\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u307e\u305a\u5358\u9805\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u76f8\u4e92\u306b\u4e57\u7b97\u3055\u308c\u308b\u304b\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p> 2 \u3064\u306e\u5358\u9805\u5f0f\u306e\u7a4d\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u4fc2\u6570\u3092\u76f8\u4e92\u306b\u4e57\u7b97\u3057\u3001\u30ea\u30c6\u30e9\u30eb\u90e8\u5206\u3092\u76f8\u4e92\u306b\u4e57\u7b97\u3059\u308b\u3053\u3068\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5358\u9805\u5f0f\u306e\u4fc2\u6570\u304c\u4e57\u7b97\u3055\u308c\u3001\u540c\u3058\u57fa\u6570\u3092\u6301\u3064\u5909\u6570\u306e\u6307\u6570\u304c\u52a0\u7b97\u3055\u308c\u307e\u3059\u3002\u6b21\u306e\u4f8b\u3092\u898b\u3066\u304f\u3060\u3055\u3044\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-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>\u6b21\u306b\u3001\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u6570\u5b66\u3067\u306f\u3001<strong>\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u89e3\u304f\u305f\u3081\u306b\u3001<\/strong>\u5358\u9805\u5f0f\u306b\u591a\u9805\u5f0f\u306e\u5404\u9805\u3092\u4e57\u7b97\u3057\u307e\u3059\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\u9805\u5f0f\u3068\u5358\u9805\u5f0f\u306e\u4e57\u7b97\" class=\"wp-image-601\" width=\"407\" height=\"220\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u524d\u3068\u540c\u69d8\u306b\u3001\u4e57\u7b97\u8a18\u53f7\u3082\u7701\u7565\u3067\u304d\u307e\u3059\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-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>\u524d\u306e\u4f8b\u3067\u306f\u3001\u5358\u9805\u5f0f\u307e\u305f\u306f\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3059\u308b\u3068\u304d\u306b\u3001\u7b26\u53f7\u306e\u898f\u5247\u3082\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u5b9f\u969b\u3001\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3059\u308b\u3068\u304d\u306b\u975e\u5e38\u306b\u3088\u304f\u3042\u308b\u9593\u9055\u3044\u306f\u3001\u9805\u306e\u7b26\u53f7\u3092\u9593\u9055\u3048\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u78ba\u304b\u306b\u3001\u3042\u308b\u6642\u70b9\u3067\u3001\u6570\u5b66\u3067\u4f55\u304b\u65b0\u3057\u3044\u3082\u306e\u3092\u898b\u305f\u3068\u304d\u3001\u3042\u306a\u305f\u306f\u81ea\u554f\u3057\u307e\u3057\u305f\u3002<span style=\"text-decoration: underline;\">\u305d\u308c\u306f\u4f55\u306e\u305f\u3081\u306e\u3082\u306e\u3067\u3059\u304b<\/span>?\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e57\u7b97\u306f<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u62bd\u51fa-\u62bd\u51fa\u6f14\u7fd2-\u5171\u901a\u56e0\u6570\u306e\u89e3\u6c7a\u4f8b\/\">\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570<\/a><\/span><\/strong>\u3092\u53d6\u5f97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u591a\u9805\u5f0f\u3092\u5358\u7d14\u5316\u3067\u304d\u308b\u64cd\u4f5c\u3067\u3059 (\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3059)\u3002\u3053\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u3068\u591a\u9805\u5f0f\u306e\u5171\u901a\u56e0\u6570\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-dos-polinomios\"><\/span> 2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306b\u6570\u5024\u3068\u5358\u9805\u5f0f\u3092\u639b\u3051\u308b\u65b9\u6cd5\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u305d\u308c\u304c\u4f55\u306a\u306e\u304b\u3001\u305d\u3057\u3066\u591a\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u3092\u639b\u3051\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\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;\"><strong>\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3059\u308b\u306b\u306f\u3001<\/strong>\u6b21\u306e\u624b\u9806\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n<ol style=\"font-weight: bold;\">\n<li style=\"margin-bottom:8px;\"><span style=\"font-weight: normal;\">\u6700\u521d\u306e\u591a\u9805\u5f0f\u306e\u5404\u9805\u3068 2 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u9805\u3092\u4e57\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"font-weight: normal;\">\u540c\u3058\u6b21\u6570\u306e\u5358\u9805\u5f0f (\u985e\u4f3c\u3057\u305f\u5358\u9805\u5f0f) \u3092\u52a0\u7b97 (\u307e\u305f\u306f\u6e1b\u7b97) \u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ol>\n<\/div>\n<p>\u3053\u306e\u65b9\u6cd5\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u6b63\u78ba\u306b\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u6b21\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\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\/exemples-de-multiplication-de-polynomes.jpg\" alt=\"\u4e57\u7b97\u591a\u9805\u5f0f\u306e\u4f8b\" class=\"wp-image-618\" width=\"326\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u307e\u305a\u6700\u521d\u306b\u3001\u6700\u521d\u306e\u4e57\u7b97\u591a\u9805\u5f0f\u306e\u5404\u8981\u7d20\u3092 2 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u306e\u5404\u9805\u3067\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-de-polynomes.jpg\" alt=\"\u591a\u9805\u5f0f\u306e\u4e57\u7b97\" 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\u9805\u5f0f\u306e\u6bb5\u968e\u7684\u306a\u4e57\u7b97\" class=\"wp-image-620\" width=\"399\" height=\"90\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3053\u3053\u3067\u3001\u5358\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u4e57\u7b97\u3092\u5b9f\u884c\u3057\u307e\u3059\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\/produit-de-deux-polynomes.jpg\" alt=\"2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u7a4d\" class=\"wp-image-3014\" width=\"436\" height=\"50\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u591a\u9805\u5f0f\u3092\u639b\u3051\u5408\u308f\u305b\u305f\u3089\u3001\u7d50\u679c\u306e\u985e\u4f3c\u3057\u305f\u9805\u3001\u3064\u307e\u308a\u540c\u3058\u6587\u5b57\u3068\u540c\u3058\u6307\u6570\u3092\u6301\u3064\u9805\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u3060\u3051\u3067\u3059\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-de-polynomes-par-polynomes-deux.jpg\" alt=\"\u591a\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u4e57\u7b97\" class=\"wp-image-684\" width=\"436\" height=\"116\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u4e57\u7b97\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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\/resultat-multiplication-de-polynomes.jpg\" alt=\"\u591a\u9805\u5f0f\u4e57\u7b97\u306e\u7d50\u679c\" class=\"wp-image-685\" width=\"288\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u3059\u3067\u306b\u8a08\u7b97\u3057\u3066\u3044\u307e\u3059\u3002\u3082\u3057\u304b\u3057\u305f\u3089\u3001\u4eca\u306f\u3068\u3066\u3082\u96e3\u3057\u3044\u3088\u3046\u306b\u601d\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u30012 \u3064\u307e\u305f\u306f 3 \u3064\u306e\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3068\u3001\u306f\u308b\u304b\u306b\u7c21\u5358\u306b\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p> 2 \u3064\u306e\u591a\u9805\u5f0f\u9593\u306e\u4e57\u7b97\u304c\u3069\u306e\u3088\u3046\u306b\u89e3\u304b\u308c\u308b\u304b\u3092\u7406\u89e3\u3067\u304d\u305f\u306e\u3067\u3001\u304a\u305d\u3089\u304f<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u9664\u7b97\u306e\u4f8b\u984c-\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2-\u9664\u7b97\/\">\u591a\u9805\u5f0f\u306e\u9664\u7b97\u65b9\u6cd5<\/a><\/span><\/strong>\u3092\u77e5\u308a\u305f\u3044\u3068\u601d\u308f\u308c\u308b\u3067\u3057\u3087\u3046\u3002\u5b9f\u969b\u3001\u591a\u9805\u5f0f\u306e\u9664\u7b97\u306f\u4e57\u7b97\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u8907\u96d1\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5b8c\u5168\u306b\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u624b\u9806 (\u304a\u3088\u3073\u30d2\u30f3\u30c8\ud83d\ude09) \u3092\u6bb5\u968e\u7684\u306b\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u8208\u5473\u304c\u3042\u308c\u3070\u3001\u3053\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001\u591a\u9805\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u5206\u5272\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-polinomios-vertical\"><\/span>\u5782\u76f4\u591a\u9805\u5f0f\u4e57\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u591a\u9805\u5f0f\u3068\u5225\u306e\u591a\u9805\u5f0f\u3092\u6c34\u5e73\u65b9\u5411\u306b\u4e57\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u304c\u3001\u3053\u308c\u306f\u3001\u591a\u9805\u5f0f\u3092\u5782\u76f4\u65b9\u5411\u306b\u4e57\u7b97\u3059\u308b\u3068\u3044\u3046\u3001\u3088\u308a\u53e4\u5178\u7684\u306a\u65b9\u6cd5\u3067\u3082\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u591a\u9805\u5f0f\u4e57\u7b97\u306e\u4f8b\u3092\u89e3\u3044\u3066\u3001\u3053\u306e\u65b9\u6cd5\u304c\u3069\u306e\u3088\u3046\u306b\u4f7f\u7528\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6b21\u306e 2 \u3064\u306e\u591a\u9805\u5f0f\u3092\u5782\u76f4\u65b9\u5411\u306b\u4e57\u7b97\u3059\u308b\u5834\u5408:<\/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>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u591a\u9805\u5f0f\u306e\u4ee3\u6570\u4e57\u7b97\u3068\u3057\u3066\u3001\u4e00\u65b9\u306e\u591a\u9805\u5f0f\u3092\u4ed6\u65b9\u306e\u4e0b\u306b\u914d\u7f6e\u3059\u308b\u3053\u3068\u3067\u3059\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-de-polynomes-en-ligne.jpg\" alt=\"\u30aa\u30f3\u30e9\u30a4\u30f3\u3067\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\" class=\"wp-image-638\" width=\"259\" height=\"71\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b21\u306b\u3001\u4ee5\u4e0b\u306e\u591a\u9805\u5f0f\u306e\u5404\u9805\u3068\u4e0a\u306e\u591a\u9805\u5f0f\u306e\u5404\u9805\u3092\u4e57\u7b97\u3057\u3001\u305d\u306e\u7d50\u679c\u3092\u6700\u9ad8\u6b21\u6570\u304b\u3089\u6700\u4f4e\u6b21\u6570\u307e\u3067\u5217\u3054\u3068\u306b\u4e26\u3079\u307e\u3059\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\/operations-avec-polynomes-2.jpg\" alt=\"\u591a\u9805\u5f0f\u3092\u4f7f\u3063\u305f\u6f14\u7b97\" class=\"wp-image-641\" width=\"259\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6700\u5f8c\u306b\u3001\u5782\u76f4\u65b9\u5411\u306b\u6574\u5217\u3057\u305f\u9805\u3092\u8ffd\u52a0\u3057\u307e\u3059\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-de-polynomes-verticaux-2.jpg\" alt=\"\u5782\u76f4\u591a\u9805\u5f0f\u4e57\u7b97\" class=\"wp-image-645\" width=\"303\" height=\"193\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u89e3\u304f\u305f\u3081\u306b\u5b58\u5728\u3059\u308b 2 \u3064\u306e\u65b9\u6cd5\u3092\u898b\u3066\u304d\u307e\u3057\u305f\u304c\u3001<span style=\"text-decoration: underline;\">\u5206\u6570\u3068\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3082\u3067\u304d\u308b\u3053\u3068\u3092\u3054\u5b58\u77e5\u3067\u3059\u304b<\/span>?\u3053\u308c\u3089\u306e\u7a2e\u985e\u306e\u5206\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4e57\u7b97\u3060\u3051\u3067\u306a\u304f\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u6f14\u7b97\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001 <strong><a href=\"https:\/\/mathority.org\/ja\/\u4ee3\u6570\u306e\u5206\u6570\u306e\u5358\u7d14\u5316\u3055\u308c\u305f\u6f14\u7b97\u52a0\u7b97\u6e1b\u7b97\u4e57\u7b97\u9664\u7b97\u306e\u6f14\u7fd2\u3092\u89e3\u304f\/\"><span style=\"text-decoration: underline;\">\u4ee3\u6570\u5206\u6570\u3068<\/span><\/a><\/strong>\u306f\u4f55\u304b\u3092\u8abf\u3079\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-multiplicacion-de-polinomios\"><\/span>\u591a\u9805\u5f0f\u4e57\u7b97\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u53ef\u63db\u6027\u306e\u6027\u8cea<\/strong>: \u4e57\u7b97\u591a\u9805\u5f0f\u306e\u6b21\u6570\u306f\u4e57\u7b97\u306e\u7d50\u679c\u3092\u5909\u66f4\u3057\u307e\u305b\u3093\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>\u7d50\u5408\u7279\u6027<\/strong>: 3 \u3064\u4ee5\u4e0a\u306e\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3059\u308b\u3068\u3001\u56e0\u5b50\u304c\u3069\u306e\u3088\u3046\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u308b\u304b\u306b\u95a2\u4fc2\u306a\u304f\u3001\u7a4d\u306e\u7d50\u679c\u306f\u540c\u3058\u306b\u306a\u308a\u307e\u3059\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-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\u7279\u6027<\/strong>: 2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u5408\u8a08\u306b 3 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3057\u305f\u5024\u306f\u3001\u5404\u52a0\u7b97\u306e\u5408\u8a08\u306b 3 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3057\u305f\u5024\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\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> 2 \u3064\u306e\u591a\u9805\u5f0f\u9593\u306e\u4e57\u7b97\u304b\u3089\u5f97\u3089\u308c\u308b<strong>\u591a\u9805\u5f0f\u306e\u6b21\u6570\u306f\u3001\u4e57\u7b97<\/strong>\u3055\u308c\u305f 2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u6b21\u6570\u306e\u5408\u8a08\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-multiplicaciones-de-polinomios\"><\/span>\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7df4\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u3044\u304f\u3064\u304b\u6b8b\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u81ea\u5206\u3067\u554f\u984c\u3092\u89e3\u6c7a\u3057\u3066\u307f\u3066\u3001\u63d0\u6848\u3055\u308c\u305f\u89e3\u6c7a\u7b56\u3067\u7d50\u679c\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b3\u30e1\u30f3\u30c8\u3067\u3054\u8cea\u554f\u3044\u305f\u3060\u3051\u308c\u3070\u3001\u559c\u3093\u3067\u304a\u624b\u4f1d\u3044\u3055\u305b\u3066\u3044\u305f\u3060\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u591a\u9805\u5f0f\u3068\u30b9\u30ab\u30e9\u30fc\u9593\u306e\u6b21\u306e\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u591a\u9805\u5f0f\u3068\u6570\u5024\u306e\u4e57\u7b97\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6570\u5024\u306b\u591a\u9805\u5f0f\u306e\u5404\u8981\u7d20\u306e\u4fc2\u6570\u3092\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\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\">\u6f14\u7fd2 2<\/h3>\n<p>\u591a\u9805\u5f0f\u3068\u5358\u9805\u5f0f\u306e\u9593\u306e\u6b21\u306e\u4e57\u7b97\u3092\u89e3\u304d\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u591a\u9805\u5f0f\u3068\u5358\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u89e3\u304f\u306b\u306f\u3001\u305d\u306e\u5358\u9805\u5f0f\u306b\u591a\u9805\u5f0f\u306e\u5404\u9805\u3092\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\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\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e\u591a\u9805\u5f0f\u9593\u306e\u4e57\u7b97\u306e\u7d50\u679c\u3092\u6c42\u3081\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6700\u521d\u306e\u591a\u9805\u5f0f\u306e\u5404\u8981\u7d20\u3068 2 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u306e\u5404\u8981\u7d20\u3092\u4e57\u7b97\u3057\u3001\u985e\u4f3c\u3057\u305f\u9805\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\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\">\u6f14\u7fd2 4<\/h3>\n<p>\u6b21\u306e\u591a\u9805\u5f0f\u9593\u306e\u4e57\u7b97\u306e\u7d50\u679c\u3092\u6c42\u3081\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6700\u521d\u306e\u591a\u9805\u5f0f\u306e\u5404\u8981\u7d20\u3068 2 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u306e\u5404\u8981\u7d20\u3092\u4e57\u7b97\u3057\u3001\u540c\u69d8\u306e\u9805\u3092\u52a0\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\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\">\u6f14\u7fd2 5<\/h3>\n<p>\u6b21\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u8a08\u7b97\u3057\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u7a4d\u3092\u4f5c\u6210\u3059\u308b\u306b\u306f\u3001\u6700\u521d\u306e\u591a\u9805\u5f0f\u306e\u5404\u9805\u3068 2 \u756a\u76ee\u306e\u591a\u9805\u5f0f\u306e\u5404\u9805\u3092\u4e57\u7b97\u3057\u3001\u5f97\u3089\u308c\u305f\u985e\u4f3c\u306e\u5358\u9805\u5f0f\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u3060\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\">\u6f14\u7fd2 6<\/h3>\n<p>\u6b21\u306e 3 \u3064\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3092\u89e3\u304d\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u306e\u6f14\u7b97\u306f 2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3067\u69cb\u6210\u3055\u308c\u3001\u3088\u308a\u6b63\u78ba\u306b\u306f 2 \u3064\u306e\u4e8c\u9805\u5f0f\u3068 1 \u3064\u306e\u4e09\u9805\u5f0f\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u7a4d\u3092\u6c42\u3081\u3066\u304b\u3089\u3001\u305d\u306e\u7d50\u679c\u306b\u6b8b\u308a\u306e\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306e\u4e57\u7b97\u3092\u8a08\u7b97\u3057\u307e\u3059\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-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\">\u305d\u3057\u3066\u6b8b\u308a\u306e\u4e57\u7b97\u3092\u89e3\u304d\u307e\u3059\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-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\">\u6f14\u7fd2 7<\/h3>\n<p>\u6b21\u306e\u591a\u9805\u5f0f\u306b\u6709\u7406\u4fc2\u6570 (\u5206\u6570\u3092\u542b\u3080) \u3092\u639b\u3051\u307e\u3059\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-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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u591a\u9805\u5f0f\u306b\u306f\u5206\u6570\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u305d\u308c\u3067\u3082 2 \u3064\u306e\u591a\u9805\u5f0f\u9593\u306e\u4e57\u7b97\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u306f\u4ed6\u306e\u591a\u9805\u5f0f\u306e\u7a4d\u3068\u540c\u3058\u3088\u3046\u306b\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u3059\u3079\u3066\u306e\u8981\u7d20\u3092\u639b\u3051\u5408\u308f\u305b\u3066\u304b\u3089\u3001\u985e\u4f3c\u3057\u305f\u5358\u9805\u5f0f\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u3092\u4e57\u7b97\u3057\u307e\u3059\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-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\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u30ea\u30c6\u30e9\u30eb\u90e8\u5206\u304c\u540c\u4e00\u3067\u3042\u308b\u7528\u8a9e\u3092\u8ffd\u52a0 (\u307e\u305f\u306f\u6e1b\u7b97) \u3057\u307e\u3059\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-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\">\u3053\u306e\u6f14\u7fd2\u3092\u6b63\u5e38\u306b\u5b8c\u4e86\u3059\u308b\u306b\u306f\u3001\u5206\u6570\u306e\u6f14\u7b97\u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u5404\u30b9\u30c6\u30c3\u30d7\u306b\u3064\u3044\u3066\u3054\u8cea\u554f\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u30b3\u30e1\u30f3\u30c8\u6b04\u3067\u8cea\u554f\u3057\u3066\u3044\u305f\u3060\u3051\u308c\u3070\u3001\u3067\u304d\u308b\u3060\u3051\u65e9\u304f\u304a\u7b54\u3048\u3044\u305f\u3057\u307e\u3059\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>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306e\u4f8b\u3084\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u4e57\u7b97\u591a\u9805\u5f0f\u306e\u7279\u6027\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u767a\u898b\u3057\u307e\u3059\u3002 \u305f\u3060\u3057\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306e\u6982\u5ff5\u3092\u5b8c\u5168\u306b\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u6700\u3082\u57fa\u672c\u7684\u306a\u3082\u306e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%b9%97%e7%ae%97%e3%81%ae%e4%be%8b-%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%8f-%e7%a9%8d%e3%81%ae%e4%b9%97%e7%ae%97\/\"> <span class=\"screen-reader-text\">\u591a\u9805\u5f0f\u306e\u4e57\u7b97 (\u307e\u305f\u306f\u7a4d)<\/span> \u3082\u3063\u3068\u8aad\u3080 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