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Each item multiplies two quadratic expressions, requiring correct term-by-term expansion and collecting like terms to form a final polynomial in standard form. An accompanying answer key provides the expected expanded results for each problem, supporting self-checking and instruction. Suitable for classroom practice focused on algebraic multiplication and polynomial simplification skills.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/expanding-polynomials-using-the-box-method-math-practice/467175/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/expanding-polynomials-using-the-box-method-math-practice/467175.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the box method used for in these problems?","Question",{"text":112,"@type":113},"The box method is used to expand the product of two polynomials by organizing terms in a grid, then combining like terms to get the final polynomial.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of expressions appear in the problems?",{"text":117,"@type":113},"Each problem multiplies two quadratic polynomials (expressions involving x^2 and x terms with constants), and the goal is to expand them into a polynomial of higher degree.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there an answer key included?",{"text":121,"@type":113},"Yes. The document includes an answer section listing the expanded results for problems 1 through 10 for verification.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},467175,1793096295,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"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) (8x2+8x-3)(-7x2+2x) 2) (2x2+4x)(-7x2+9x)\u003Cbr>\u003Cbr>3) (-2x2+6x+3)(-2x2+7x) 4) (-1x2-3x+5)(-8x2-4x)\u003Cbr>\u003Cbr>5) (-9x2-3x)(8x2-4x-7) 6) (3x2+6x)(4x2-6x+8)\u003Cbr>\u003Cbr>7) (-9x2+6x+5)(1x2-3x) 8) (-8x2-6x+2)(7x2+9x)\u003Cbr>\u003Cbr>9) (3x2-1x-9)(-9x2-3x) 10) (-8x2+6x)(-2x2-5x)\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 7 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7 1-10)[ 7](Math www.CommonCoreSheets.com 7 1-10)[ 1-10](Math www.CommonCoreSheets.com 7 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\u003Cbr>1.  -56x4-40x3+37x2-6x  2.  -14x4-10x3+36x2  3.  4x4-26x3+36x2+21x  4.  8x4+28x3-28x2-20x  5.  -72x4+12x3+75x2+21x  6.  12x4+6x3-12x2+48x  7.  -9x4+33x3-13x2-15x  8.  -56x4-114x3-40x2+18x  9.  -27x4-0x3+84x2+27x \u003Cbr>10.  16x4+28x3-30x2  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1) (8x2+8x-3)(-7x2+2x)\u003Cbr>8x2 8x -3 |  |  | 2) (2x2+4x)(-7x2+9x)\u003Cbr>2x2 4x |  |  |  |\n| -7x2 2x |  | -56x4 -56x3 21x2 16x3 16x2 -6x | -7x2 9x |  | -14x4 -28x3 18x3 36x2 |  |\n| 3) (-2x2+6x+3)(-2x2+7x)\u003Cbr>-2x2 6x 3 |  |  | 4) (-1x2-3x+5)(-8x2-4x)\u003Cbr>-1x2 -3x 5 |  |  |  |\n| -2x2 7x |  | 4x4 -12x3 -6x2 -14x3 42x2 21x | -8x2 -4x |  | 8x4 24x3 -40x2 4x3 12x2 -20x |  |\n| 5) (-9x2-3x)(8x2-4x-7)\u003Cbr>-9x2 -3x |  |  | 6) (3x2+6x)(4x2-6x+8)\u003Cbr>3x2 6x |  |  |  |\n| 8x2 -4x-7 | -72x4 -24x3 36x3 12x2 63x2 21x |  | 4x2\u003Cbr>-6x 8 | 12x4 24x3 -18x3 -36x2 24x2 48x |  |  |\n| 7) (-9x2+6x+5)(1x2-3x)\u003Cbr>-9x2 6x 5 |  |  | 8) (-8x2-6x+2)(7x2+9x)\u003Cbr>-8x2 -6x 2\u003Cbr>7x2 -56x4 -42x3 14x2 9x -72x3 -54x2 18x\u003Cbr>\u003Cbr>10) (-8x2+6x)(-2x2-5x)\u003Cbr>-8x2 6x |  |  |  |\n| 1x2\u003Cbr>-3x | -9x4 6x3 5x2 27x3 -18x2 -15x |  |  |  |  |  |\n| 9) (3x2-1x-9)(-9x2-3x)\u003Cbr>3x2 -1x -9 |  |  |  |  |  |  |\n| -9x2 -3x |  | -27x4 9x3 81x2 -9x3 3x2 27x | -2x2 -5x |  | 16x4 -12x3 40x3 -30x2 |  |\n\n[Math](Math www.CommonCoreSheets.com 7 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7 1-10)[ 7](Math www.CommonCoreSheets.com 7 1-10)[ 1-10](Math www.CommonCoreSheets.com 7 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nExpanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method. 4x 4-26x 3 +36x 2 +21x-56x4-40x 3 +37x 2-6x 8x 4 +28x 3-28x 2-20x-72x4 +12x 3 +75x 2 +21x 12x 4 +6x 3-12x 2 +48x -14x 4-10x 3 +36x 2 1)\u003Cbr>3)\u003Cbr>5) (8x2+8x-3)(-7x2+2x) 2)\u003Cbr>\u003Cbr>(-2x2+6x+3)(-2x2+7x) 4)\u003Cbr>\u003Cbr>(-9x2-3x)(8x2-4x-7) 6)\u003Cbr> (2x2+4x)(-7x2+9x)\u003Cbr>\u003Cbr>(-1x2-3x+5)(-8x2-4x)\u003Cbr>\u003Cbr>(3x2+6x)(4x2-6x+8)\u003Cbr> | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| --- | --- |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-6  83  67  50  33  17  0","cbCaifyhbs3QQvdp","https://ap.wps.com/l/cbCaifyhbs3QQvdp","pdf",52485,"English","# Expand each problem using the box method\n## Problems 1-10\n## Answers","[{\"question\":\"What is the box method used for in these problems?\",\"answer\":\"The box method is used to expand the product of two polynomials by organizing terms in a grid, then combining like terms to get the final polynomial.\"},{\"question\":\"What types of expressions appear in the problems?\",\"answer\":\"Each problem multiplies two quadratic polynomials (expressions involving x^2 and x terms with constants), and the goal is to expand them into a polynomial of higher degree.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. The document includes an answer section listing the expanded results for problems 1 through 10 for verification.\"}]","Expanding Polynomials Using the Box Method - Math Practice | PDF",1790772434]