{"id":33667,"date":"2021-03-28T13:00:12","date_gmt":"2021-03-28T13:00:12","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33667"},"modified":"2025-07-30T18:23:06","modified_gmt":"2025-07-30T18:23:06","slug":"%e5%ae%9f%e6%95%b0%e3%81%ae%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%bb%a3%e6%95%b0","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e5%ae%9f%e6%95%b0%e3%81%ae%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%bb%a3%e6%95%b0\/","title":{"rendered":"\u5b9f\u6570\u306e\u591a\u9805\u5f0f\u306e\u4ee3\u6570"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px; text-align:center;\">\n<h1>\u5b9f\u6570\u306e\u591a\u9805\u5f0f\u306e\u4ee3\u6570<\/h1>\n<p>    <em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n        \u3053\u306e\u6388\u696d\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u4ee3\u6570\u3001\u305d\u306e\u5b9a\u7fa9\u3001\u6027\u8cea\u3001\u5fdc\u7528\u306b\u3064\u3044\u3066\u63a2\u7a76\u3057\u307e\u3059\u3002\u591a\u9805\u5f0f\u306f\u6570\u5b66\u306e\u57fa\u672c\u7684\u306a\u8981\u7d20\u3067\u3042\u308a\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5e83\u304f\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<br \/>\n    <\/em><\/p>\n<p>    <strong>\u5b66\u7fd2\u76ee\u6a19<\/strong><\/p>\n<p>\u3053\u306e\u6388\u696d\u306e\u7d42\u4e86\u6642\u306b\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align:left;\">\n        1. \u591a\u9805\u5f0f\u3068\u305d\u306e\u6027\u8cea\u3092\u5b9a\u7fa9\u3057\u3001\u7406\u89e3\u3059\u308b\u3053\u3068\u3002<br \/>\n        2. \u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u4fc2\u6570\u3092\u8b58\u5225\u3059\u308b\u3053\u3068\u3002<br \/>\n        3. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\u7684\u64cd\u4f5c\u3092\u884c\u3044\u3001\u6570\u5b66\u7684\u306a\u6587\u8108\u3067\u305d\u306e\u6027\u8cea\u3092\u5fdc\u7528\u3059\u308b\u3053\u3068\u3002\n    <\/p>\n<p>    <strong>\u5185\u5bb9\u76ee\u6b21\uff1a<\/strong><\/p>\n<p>\n        <a href=\"#1\"><strong>1. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u5b9a\u7fa9<\/strong><\/a><br \/>\n        <a href=\"#2\"><strong>2. \u591a\u9805\u5f0f\u306e\u7a2e\u985e<\/strong><\/a><br \/>\n        <a href=\"#3\"><strong>3. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u6f14\u7b97<\/strong><\/a><br \/>\n        <a href=\"#4\"><strong>4. \u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3068\u9664\u6cd5<\/strong><\/a>\n    <\/p>\n<p>    <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/ry4sKaS3RMc\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2><strong>1. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u5b9a\u7fa9<\/strong><\/h2>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=139s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">\u591a\u9805\u5f0f\u306e\u4ee3\u6570\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u591a\u9805\u5f0f\u3068\u306f\u4f55\u304b\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/strong><\/a> \u591a\u9805\u5f0f\u306f\u4ee3\u6570\u95a2\u6570\u3067\u3059\u3002\u5909\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u304c\u5b9f\u6570\u3067\u3042\u308b\u3068\u304d\u3001\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">P(x)<\/span> \u304c\u6b21\u306e\u5f62\u3067\u8868\u3055\u308c\u308b\u306a\u3089\u3070\u3001<span class=\"katex-eq\" data-katex-display=\"false\">P(x)<\/span> \u306f\u591a\u9805\u5f0f\u3068\u547c\u3070\u308c\u307e\u3059\uff1a\n<\/p>\n<p style=\"text-align: center;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(x)= \\sum_{i=0}^n a_i x^i= a_0 + a_1x + a_2x^2 + a_3x^3 + \\cdots + a_nx^n,<\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    \u3053\u3053\u3067\u3001<span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u306f0\u4ee5\u4e0a\u306e\u6574\u6570\u3067\u3042\u308a\u3001\u3059\u3079\u3066\u306e <span class=\"katex-eq\" data-katex-display=\"false\">a_i<\/span> \uff08<span class=\"katex-eq\" data-katex-display=\"false\">i\\in\\{1,2,3,\\cdots,n\\}<\/span>\uff09\u306f\u5b9f\u6570\u4fc2\u6570\u3067\u3059\u3002\u3042\u308b <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u304c\u5b58\u5728\u3057\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">a_k\\neq 0<\/span> \u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">k\\lt i<\/span> \u306b\u5bfe\u3057\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">a_i=0<\/span> \u3067\u3042\u308b\u306a\u3089\u3070\u3001\u3053\u306e <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u306e\u5024\u306f<strong>\u591a\u9805\u5f0f\u306e\u6b21\u6570<\/strong>\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u306f\u3001\u30bc\u30ed\u3067\u306a\u3044\u4fc2\u6570\u306b\u5bfe\u5fdc\u3059\u308b\u6700\u5927\u306e\u3079\u304d\u6307\u6570\u306e\u3053\u3068\u3067\u3059\u3002\n<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2><strong>2. \u591a\u9805\u5f0f\u306e\u7a2e\u985e<\/strong><\/h2>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=340s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">\u591a\u9805\u5f0f\u306f\u305d\u306e\u6b21\u6570\u306b\u3088\u3063\u3066\u5206\u985e\u3055\u308c\u307e\u3059\uff1b<\/span><\/strong><\/a> \u305d\u306e\u305f\u3081\u3001\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u8a00\u53ca\u3059\u308b\u969b\u306b\u306f\u3001\u901a\u5e38\u305d\u306e\u591a\u9805\u5f0f\u304c <span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u6b21\u3067\u3042\u308b\u3068\u8ff0\u3079\u307e\u3059\u3002\u3053\u3053\u3067\u3001<span class=\"katex-eq\" data-katex-display=\"false\">k<\/span> \u306f\u975e\u30bc\u30ed\u306e\u4fc2\u6570\u306b\u4ed8\u968f\u3059\u308b <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u306e\u6700\u5927\u306e\u3079\u304d\u6307\u6570\u3067\u3059\u3002\n<\/p>\n<h3>2.1. \u5b9a\u6570\u591a\u9805\u5f0f<\/h3>\n<p style=\"text-align: justify;\">\u6b21\u6570\u304c\u30bc\u30ed\u306e\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3068\u96f6\u591a\u9805\u5f0f\u3092\u542b\u3080\u65cf\u3067\u3059\u3002\u591a\u9805\u5f0f\u304c <span class=\"katex-eq\" data-katex-display=\"false\">P(x)=c,<\/span> \u306e\u5f62\u3067\u8868\u3055\u308c\u3001<span class=\"katex-eq\" data-katex-display=\"false\">c\\neq 0<\/span> \u3067\u3042\u308b\u3068\u304d\u3001\u6b21\u6570\u306f\u30bc\u30ed\u3068\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001\u96f6\u591a\u9805\u5f0f\u306f <span class=\"katex-eq\" data-katex-display=\"false\">P(x) = 0<\/span> \u306e\u5f62\u3067\u8868\u3055\u308c\u3001\u305d\u306e\u6b21\u6570\u306f\u5b9a\u7fa9\u3055\u308c\u307e\u305b\u3093\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2><strong>3. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u6f14\u7b97<\/strong><\/h2>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=428s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">\u591a\u9805\u5f0f\u306f\u5b9f\u6570\u306e\u4ee3\u6570\u306b\u304a\u3051\u308b\u3059\u3079\u3066\u306e\u6027\u8cea\u3092\u53d7\u3051\u7d99\u304e\u307e\u3059\u3002<\/span><\/strong><\/a> \u7279\u306b\u3001\u5206\u914d\u6cd5\u5247\u3068\u7d50\u5408\u6cd5\u5247\u304c\u91cd\u8981\u3067\u3059\u3002\n<\/p>\n<h3>3.1. \u52a0\u7b97\u3068\u6e1b\u7b97<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=470s\" target=\"_blank\" rel=\"noopener\"> <strong><span style=\"color: #ff0000;\"><span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">Q<\/span> \u304c\u305d\u308c\u305e\u308c<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">n<\/span> \u6b21\u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u6b21\u306e\u591a\u9805\u5f0f\u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align:center\"><span class=\"katex-eq\" data-katex-display=\"false\">m=n+k<\/span> \u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">0\\leq k<\/span>\n<p style=\"text-align: justify;\">\u3053\u306e\u3068\u304d\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\displaystyle P(x) \\pm Q(x) &amp;=\\displaystyle \\sum_{i=0}^n a_i x^i \\pm \\sum_{i=0}^m b_i x^i \\\\ \\\\\n\n &amp;\\displaystyle = \\sum_{i=0}^n a_i x^i \\pm \\left( \\sum_{i=0}^n b_i x^i + \\sum_{i=n+1}^{n+k} b_i x^i \\right) \\\\ \\\\\n\n&amp;\\displaystyle = \\sum_{i=0}^n (a_i \\pm b_i) x^i + \\sum_{i=n+1}^m b_i x^i\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify;\">\u3064\u307e\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u306e\u540c\u3058\u3079\u304d\u6307\u6570\u306b\u5bfe\u5fdc\u3059\u308b\u4fc2\u6570\u540c\u58eb\u3092\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000080;\">\u4f8b\uff1a<\/span><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">P(x) = 3+5x+2x^2<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">Q(x) = 6x-3x^2 +23x^5<\/span> \u306e\u3068\u304d\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">P(x) + Q(x) = \\cdots \\\\ = (3+5x+2x^2) + (6x-3x^2 +23x^5) \\\\ = 3 + (5+6)x + (2-3)x^2 + 23x^5 \\\\ = 3 + 11x - x^2 + 23x^5 <\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">P(x) - Q(x) = \\cdots \\\\ = (3+5x+2x^2) - (6x-3x^2 +23x^5) \\\\ = 3 + (5-6)x + (2+3)x^2 - 23x^5 \\\\ = 3 - x + 5x^2 - 23x^5 <\/span>\n<\/p>\n<h3>3.2. \u4e57\u7b97<\/h3>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=894s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u591a\u9805\u5f0f\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u3068\u540c\u3058\u6587\u8108\u306b\u304a\u3044\u3066\u3001<\/span><\/strong><\/a> \u591a\u9805\u5f0f\u306e\u7a4d\u306f\u6b21\u306e\u3088\u3046\u306b\u5c55\u958b\u3055\u308c\u307e\u3059\uff1a\n<\/p>\n<p style=\"text-align: justify;\">\n    \u307e\u305a\u30b9\u30ab\u30e9\u30fc\u500d\u3092\u533a\u5225\u3057\u307e\u3059\u3002\u3082\u3057 <span class=\"katex-eq\" data-katex-display=\"false\">c \\in \\mathbb{R}<\/span> \u3067\u3042\u308c\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a\n<\/p>\n<p style=\"text-align: center;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle c P(x) = c \\sum_{i=0}^n a_i x^i =\\sum_{i=0}^n c a_i x^i <\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    \u305d\u3057\u3066\u6b21\u306b\u3001\u591a\u9805\u5f0f\u540c\u58eb\u306e\u4e57\u7b97\u304c\u3042\u308a\u307e\u3059\uff1a\n<\/p>\n<p style=\"text-align: center;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\displaystyle P(x) Q(x) &amp;\\displaystyle = \\left( \\sum_{i=0}^n a_i x^i \\right) \\left(\\sum_{j=0}^m b_j x^j\\right) \\\\ \\\\\n\n&amp;=\\displaystyle \\left[\\sum_{j=0}^m \\left( \\sum_{i=0}^n a_i x^i \\right) b_j x^j\\right] \\\\ \\\\\n\n&amp;=\\displaystyle \\sum_{j=0}^m \\left( \\sum_{i=0}^n a_ib_j x^{i+j} \\right) \\\\ \\\\\n\n&amp;=\\displaystyle \\sum_{i,j=0}^{n,m} a_ib_j x^{i+j}\n\n\\end{array}<\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    \u3053\u308c\u306f\u300c\u3059\u3079\u3066\u3068\u3059\u3079\u3066\u306e\u7a4d\u306e\u7dcf\u548c\u300d\u3068\u8868\u73fe\u3055\u308c\u308b\u3082\u306e\u3067\u3059\u3002\n<\/p>\n<p style=\"text-align: justify;\">\n    <span style=\"color: #000080;\">\u4f8b\uff1a<\/span><br \/>\n    <span class=\"katex-eq\" data-katex-display=\"false\">P(x) = 4x+ 2x^2-x^4<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">Q(x) = 5 - x + x^2-7x^3<\/span> \u306e\u3068\u304d\uff1a\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">P(x)Q(x) =\\cdots \\\\ {} \\\\= (4x+ 2x^2-x^4)(5 - x + x^2-7x^3) \\\\ {} \\\\ = 4x(5 - x + x^2-7x^3) \\\\ + 2x^2 (5 - x + x^2-7x^3) \\\\ - x^4 (5 - x + x^2-7x^3) \\\\ {} \\\\ = 20x - 4x^2 + 4x^3 - 28x^4 \\\\ + 10x^2 - 2x^3 + 2x^4 - 14x^5 \\\\ -5x^4 + x^5 - x^6 + 7x^7 \\\\ {} \\\\ = 20x + 6x^2 + 2x^3 - 31x^4 - 13x^5 - x^6 + 7x^7<\/span>\n<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2><strong>4. \u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3068\u9664\u6cd5<\/strong><\/h2>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=1375s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">2\u3064\u306e\u591a\u9805\u5f0f\u3092\u639b\u3051\u5408\u308f\u305b\u308b\u3068\u30012\u3064\u306e\u5358\u7d14\u306a\u591a\u9805\u5f0f\u304b\u3089\u3088\u308a\u8907\u96d1\u306a\uff08\u3088\u308a\u9ad8\u6b21\u306e\uff09\u591a\u9805\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/span><\/strong><\/a> \u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u5834\u5408\u306f\u3001\u305d\u306e\u9006\u306e\u904e\u7a0b\u3092\u305f\u3069\u308a\u307e\u3059\uff1a\u8907\u96d1\u306a\u591a\u9805\u5f0f\u3092\u3001\u3088\u308a\u4f4e\u6b21\u306e2\u3064\u4ee5\u4e0a\u306e\u591a\u9805\u5f0f\u306e\u7a4d\u306b\u5909\u63db\u3057\u307e\u3059\u3002\n<\/p>\n<p style=\"text-align: justify;\">\n    \u591a\u9805\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">P(x)<\/span> \u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u306e\u5024\u306e\u3046\u3061\u3001\u305d\u306e\u591a\u9805\u5f0f\u3092\u30bc\u30ed\u306b\u3059\u308b\u3082\u306e\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3082\u3057\u305d\u306e\u3088\u3046\u306a\u5024\u304c\u5b58\u5728\u3059\u308c\u3070\u3001\u305d\u306e\u591a\u9805\u5f0f\u306f\u56e0\u6570\u5206\u89e3\u53ef\u80fd\u3067\u3059\u3002\u5b58\u5728\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u8a9e\u308b\u306e\u306f\u5bb9\u6613\u3067\u3059\u304c\u3001\u305d\u308c\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306b\u3064\u3044\u3066\u8a9e\u308b\u306e\u306f\u307e\u3063\u305f\u304f\u5225\u306e\u8a71\u3067\u3059\u3002\u3053\u306e\u30c8\u30d4\u30c3\u30af\u306b\u3064\u3044\u3066\u306f\u30012\u6b21\u304a\u3088\u3073 (2n) \u6b21\u306e\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u5b66\u3076\u969b\u306b\u3001\u3088\u308a\u8a73\u3057\u304f\u691c\u8a0e\u3057\u307e\u3059\u3002\n<\/p>\n<h3>4.1. \u4ee3\u8868\u7684\u306a\u7a4d\uff08\u6ce8\u76ee\u3059\u3079\u304d\u7a4d\uff09<\/h3>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=1654s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u56e0\u6570\u5206\u89e3\u304c\u7c21\u5358\u306b\u5f97\u3089\u308c\u308b\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002<\/span><\/strong><br \/>\n    <\/a> \u305d\u306e\u4e00\u4f8b\u304c\u4ee3\u8868\u7684\u306a\u7a4d\uff08\u6ce8\u76ee\u3059\u3079\u304d\u7a4d\uff09\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u3044\u304f\u3064\u304b\u306e\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\uff1a\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">x^2 - y^2 = (x-y)(x+y)<\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">(x\\pm y)^2 = x^2 \\pm 2xy + y^2<\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">(x \\pm y)^3 = x^3 \\pm 3x^2y + 3xy^2 \\pm y^3<\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">x^3-y^3=(x-y)(x^2+xy+y^2)<\/span>\n<\/p>\n<p style=\"text-align: justify;\">\n    <span class=\"katex-eq\" data-katex-display=\"false\">x^3+y^3=(x+y)(x^2-xy+y^2)<\/span>\n<\/p>\n<h3>4.2. \u9664\u6cd5\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/h3>\n<p style=\"text-align: justify;\">\n    <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=1854s\" target=\"_blank\" rel=\"noopener\"><br \/>\n        <strong><span style=\"color: #ff0000;\">\u6574\u6570\u306e\u4e57\u7b97\u306b\u3088\u3063\u3066\u5408\u6210\u6570\u304c\u5f97\u3089\u308c\u3001\u5272\u308a\u7b97\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u3063\u3066\u4f59\u308a\u304c\u30bc\u30ed\u306e\u3068\u304d\u56e0\u6570\u5206\u89e3\u304c\u53ef\u80fd\u306b\u306a\u308b\u3088\u3046\u306b\u3001<\/span><\/strong><\/a> \u591a\u9805\u5f0f\u306b\u3082\u540c\u69d8\u306e\u3053\u3068\u304c\u8d77\u3053\u308a\u307e\u3059\u3002\u9664\u6cd5\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u300c\u6587\u7ae0\u3067\u300d\u8aac\u660e\u3059\u308b\u306e\u306f\u5c11\u3057\u8907\u96d1\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u5b9f\u969b\u306b\u3069\u306e\u3088\u3046\u306b\u884c\u3046\u306e\u304b\u3092\u76ee\u3067\u898b\u3066\u7406\u89e3\u3059\u308b\u65b9\u304c\u306f\u308b\u304b\u306b\u7c21\u5358\u3067\u3059\u3002\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3069\u306e\u3088\u3046\u306a\u5834\u5408\u306b\u56e0\u6570\u5206\u89e3\u306b\u3064\u306a\u304c\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3059\u3002\n<\/p>\n<p style=\"text-align: justify;\">\n    <span style=\"color: #000080;\">\u4f8b\uff1a<\/span> \u4ee5\u4e0b\u306e\u5404\u5834\u5408\u306b\u3064\u3044\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">P(x):Q(x)<\/span> \u3092\u8a08\u7b97\u305b\u3088\uff1a\n<\/p>\n<ol style=\"text-align: justify;\">\n<li>\n        <span class=\"katex-eq\" data-katex-display=\"false\">P(x)=2 x^3 + x^2 - 2 x - 1,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">Q(x)=x-1<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=1930s\" target=\"_blank\" rel=\"noopener\"> <strong><span style=\"color: #ff0000;\">[\u89e3\u7b54]<\/span><\/strong> <\/a>\n    <\/li>\n<li>\n        <span class=\"katex-eq\" data-katex-display=\"false\">P(x)=x^4+2x^3-x+1,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">Q(x)=x^2-4<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=2120s\" target=\"_blank\" rel=\"noopener\"> <span style=\"color: #ff0000;\"><strong>[\u89e3\u7b54]<\/strong><\/span> <\/a>\n    <\/li>\n<li>\n        <span class=\"katex-eq\" data-katex-display=\"false\">P(x)=3 x^4 - 2 x^3 - x^2 - 4 x + 1,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">Q(x)=x^2+x+1<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=2331s\" target=\"_blank\" rel=\"noopener\"> <span style=\"color: #ff0000;\"><strong>[\u89e3\u7b54]<\/strong><\/span> <\/a>\n    <\/li>\n<li>\n        <span class=\"katex-eq\" data-katex-display=\"false\">P(x)=x^7+5x^4+5x^2-3x+1,<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">Q(x)=x^3-2x^2+1<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=ry4sKaS3RMc&amp;t=2464s\" target=\"_blank\" rel=\"noopener\"> <span style=\"color: #ff0000;\"><strong>[\u89e3\u7b54]<\/strong><\/span> <\/a>\n    <\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u5b9f\u6570\u306e\u591a\u9805\u5f0f\u306e\u4ee3\u6570 \u8981\u7d04\uff1a \u3053\u306e\u6388\u696d\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u4ee3\u6570\u3001\u305d\u306e\u5b9a\u7fa9\u3001\u6027\u8cea\u3001\u5fdc\u7528\u306b\u3064\u3044\u3066\u63a2\u7a76\u3057\u307e\u3059\u3002\u591a\u9805\u5f0f\u306f\u6570\u5b66\u306e\u57fa\u672c\u7684\u306a\u8981\u7d20\u3067\u3042\u308a\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5e83\u304f\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19 \u3053\u306e\u6388\u696d\u306e\u7d42\u4e86\u6642\u306b\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a 1. \u591a\u9805\u5f0f\u3068\u305d\u306e\u6027\u8cea\u3092\u5b9a\u7fa9\u3057\u3001\u7406\u89e3\u3059\u308b\u3053\u3068\u3002 2. \u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u4fc2\u6570\u3092\u8b58\u5225\u3059\u308b\u3053\u3068\u3002 3. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\u7684\u64cd\u4f5c\u3092\u884c\u3044\u3001\u6570\u5b66\u7684\u306a\u6587\u8108\u3067\u305d\u306e\u6027\u8cea\u3092\u5fdc\u7528\u3059\u308b\u3053\u3068\u3002 \u5185\u5bb9\u76ee\u6b21\uff1a 1. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u5b9a\u7fa9 2. \u591a\u9805\u5f0f\u306e\u7a2e\u985e 3. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u6f14\u7b97 4. \u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3068\u9664\u6cd5 1. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u5b9a\u7fa9 \u591a\u9805\u5f0f\u306e\u4ee3\u6570\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u591a\u9805\u5f0f\u3068\u306f\u4f55\u304b\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 \u591a\u9805\u5f0f\u306f\u4ee3\u6570\u95a2\u6570\u3067\u3059\u3002\u5909\u6570 \u304c\u5b9f\u6570\u3067\u3042\u308b\u3068\u304d\u3001\u95a2\u6570 \u304c\u6b21\u306e\u5f62\u3067\u8868\u3055\u308c\u308b\u306a\u3089\u3070\u3001 \u306f\u591a\u9805\u5f0f\u3068\u547c\u3070\u308c\u307e\u3059\uff1a \u3053\u3053\u3067\u3001 \u306f0\u4ee5\u4e0a\u306e\u6574\u6570\u3067\u3042\u308a\u3001\u3059\u3079\u3066\u306e \uff08\uff09\u306f\u5b9f\u6570\u4fc2\u6570\u3067\u3059\u3002\u3042\u308b \u304c\u5b58\u5728\u3057\u3066 \u304b\u3064 \u306b\u5bfe\u3057\u3066 \u3067\u3042\u308b\u306a\u3089\u3070\u3001\u3053\u306e \u306e\u5024\u306f\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u306f\u3001\u30bc\u30ed\u3067\u306a\u3044\u4fc2\u6570\u306b\u5bfe\u5fdc\u3059\u308b\u6700\u5927\u306e\u3079\u304d\u6307\u6570\u306e\u3053\u3068\u3067\u3059\u3002 2. \u591a\u9805\u5f0f\u306e\u7a2e\u985e \u591a\u9805\u5f0f\u306f\u305d\u306e\u6b21\u6570\u306b\u3088\u3063\u3066\u5206\u985e\u3055\u308c\u307e\u3059\uff1b \u305d\u306e\u305f\u3081\u3001\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u8a00\u53ca\u3059\u308b\u969b\u306b\u306f\u3001\u901a\u5e38\u305d\u306e\u591a\u9805\u5f0f\u304c \u6b21\u3067\u3042\u308b\u3068\u8ff0\u3079\u307e\u3059\u3002\u3053\u3053\u3067\u3001 \u306f\u975e\u30bc\u30ed\u306e\u4fc2\u6570\u306b\u4ed8\u968f\u3059\u308b \u306e\u6700\u5927\u306e\u3079\u304d\u6307\u6570\u3067\u3059\u3002 2.1. \u5b9a\u6570\u591a\u9805\u5f0f \u6b21\u6570\u304c\u30bc\u30ed\u306e\u3059\u3079\u3066\u306e\u591a\u9805\u5f0f\u3068\u96f6\u591a\u9805\u5f0f\u3092\u542b\u3080\u65cf\u3067\u3059\u3002\u591a\u9805\u5f0f\u304c \u306e\u5f62\u3067\u8868\u3055\u308c\u3001 \u3067\u3042\u308b\u3068\u304d\u3001\u6b21\u6570\u306f\u30bc\u30ed\u3068\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001\u96f6\u591a\u9805\u5f0f\u306f \u306e\u5f62\u3067\u8868\u3055\u308c\u3001\u305d\u306e\u6b21\u6570\u306f\u5b9a\u7fa9\u3055\u308c\u307e\u305b\u3093\u3002 3. \u591a\u9805\u5f0f\u306e\u4ee3\u6570\uff1a\u6f14\u7b97 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