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Students factor each pair of binomials and produce the fully expanded polynomial by distributing terms systematically into a rectangular grid. An accompanying answer section lists the expected expanded forms for each numbered item, enabling self-checking and fast verification of coefficients and degrees. 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can students verify their answers?","Question",{"text":112,"@type":113},"An Answers section provides the expected expanded results for each numbered problem.","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},467176,1792878009,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":131,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":67,"update_tm":135,"read_time":39},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Expanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method.\u003Cbr>1) (-1x2-1x)(-7x2+2x-5) 2) (-7x2-2x-4)(5x2-9x)\u003Cbr>\u003Cbr>3) (-8x2-5x)(-8x2+8x+4) 4) (-4x2+3x)(8x2-5x+9)\u003Cbr>\u003Cbr>5) (-1x2-2x)(-1x2+8x+6) 6) (1x2-2x)(-4x2-7x)\u003Cbr>\u003Cbr>7) (2x2+7x-1)(1x2-2x-4) 8) (-7x2-4x-3)(1x2+8x-7)\u003Cbr>\u003Cbr>9) (-9x2+4x)(-4x2-5x) 10) (4x2-7x-3)(6x2+7x-8)\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |\n| --- | --- |\n\n[Math](Math www.CommonCoreSheets.com 6 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6 1-10)[ 6](Math www.CommonCoreSheets.com 6 1-10)[ 1-10](Math www.CommonCoreSheets.com 6 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nExpanding Polynomials Using the Box Method  \nName: Answer Key  \n\n| Expand each problem using the box method. |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | (-1x2-1x)(-7x2+2x-5)\u003Cbr>-1x2 -1x |  |  | 2) (-7x2-2x-4)(5x2-9x)\u003Cbr>-7x2 -2x -4 |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  |  | 7x4+5x3+3x2+5x |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  | -35x4+53x3-2x2+36x |  |  |  |  |  |  |  |\n|  | -7x2 2x-5 |  | 7x4 7x3 -2x3 -2x2 5x2 5x | 5x2\u003Cbr>-9x | -35x4 -10x3 -20x2 63x3 18x2 36x |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  | 64x4-24x3-72x2-20x |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  | -32x4+44x3-51x2+27x |  |  |  |  |  |  |  |\n|  | (-8x2-5x)(-8x2+8x+4)\u003Cbr>-8x2 -5x |  |  | 4) (-4x2+3x)(8x2-5x+9)\u003Cbr>-4x2 3x |  |  |  |  |  |  | x4-6x3-22x2-12x |  |  |  |  |  |  |  |\n|  | -8x2\u003Cbr>8x 4 |  | 64x4 40x3 -64x3 -40x2 -32x2 -20x\u003Cbr>8x2 -5x 9\u003Cbr>-32x4 24x3 20x3 -15x2 -36x2 27x |  |  |  |  |  |  |  | -4x4+x3+14x2 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  | 2x4+3x3-23x2-26x+4 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  | -7x4-60x3+14x2+4x+21 |  |  |  |  |  |  |  |\n|  | (-1x2-2x)(-1x2+8x+6)\u003Cbr>-1x2 -2x |  |  | 6) (1x2-2x)(-4x2-7x)\u003Cbr>1x2 -2x |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  | 36x4+29x3-20x2 |  |  |  |  |  |  |  |\n|  | -1x2 8x |  | 1x4 2x3 -8x3 -16x2 | -4x2 -7x |  | -4x4 8x3 -7x3 14x2 |  |  |  |  | 24x4-14x3-99x2+35x+24 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | 6 -6x2 -12x\u003Cbr>\u003Cbr>(2x2+7x-1)(1x2-2x-4) 8) (-7x2-4x-3)(1x2+8x-7) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 1x2 -2x-4 | 2x2 7x -1\u003Cbr>2x4 7x3 -1x2 -4x3 -14x2 2x -8x2 -28x 4 |  | 1x2 8x-7 | -7x2 -4x -3\u003Cbr>-7x4 -4x3 -3x2 -56x3 -32x2 -24x 49x2 28x 21 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | (-9x2+4x)(-4x2-5x) 10) (4x2-7x-3)(6x2+7x-8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | -4x2 -5x |  | -9x2 4x\u003Cbr>36x4 -16x3 45x3 -20x2 | 4x2 -7x -3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 6x2 7x-8 | 24x4 -42x3 -18x2 28x3 -49x2 -21x -32x2 56x 24 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  |  | 90 |  | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \nExpanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method. \u003Cbr>-32x 4 +44x 3-51x 2 +27x -4x 4 +x 3 +14x 2 64x 4-24x 3-72x 2-20x x 4-6x 3-22x 2-12x 7x 4 +5x 3 +3x 2 +5x-35x4 +53x 3-2x 2 +36x\u003Cbr>1) (-1x2-1x)(-7x2+2x-5) 2)\u003Cbr>\u003Cbr>3) (-8x2-5x)(-8x2+8x+4) 4)\u003Cbr>\u003Cbr>5) (-1x2-2x)(-1x2+8x+6) 6)\u003Cbr> (-7x2-2x-4)(5x2-9x)\u003Cbr>\u003Cbr>(-4x2+3x)(8x2-5x+9)\u003Cbr>\u003Cbr>(1x2-2x)(-4x2-7x)\u003Cbr>\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| --- | --- |\n\n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\n1-6 83 67 50 33 17 0  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.c","cbCaiudFfUOHEtB7","https://ap.wps.com/l/cbCaiudFfUOHEtB7","pdf",53244,"English","# Problems\n## 1-10\n# Answers","[{\"question\":\"Where can students verify their answers?\",\"answer\":\"An Answers section provides the expected expanded results for each numbered problem.\"}]","Expanding Polynomials Using the Box Method - Practice Problems 1-10 | PDF",1790772434]