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Ten problems ask students to multiply binomials and trinomials, expressed with variables and coefficients, and then write each result in expanded polynomial form. An answer key section provides the fully expanded expressions for problems 1 through 10, enabling self-checking and rapid verification of distributive-property work and correct term combination.",{"@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-expand-each-problem/467170/",{"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-expand-each-problem/467170.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 technique is used to expand the polynomial expressions in these problems?","Question",{"text":112,"@type":113},"The worksheet uses the box method to expand each product into a full polynomial.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many expansion problems are included?",{"text":117,"@type":113},"There are 10 problems labeled 1 through 10.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the completed answers be found?",{"text":121,"@type":113},"The document includes an Answers section with a key showing the expanded results for problems 1 through 10.","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},467170,1792878008,{"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) (1x2+7x)(-2x2-8x) 2) (5x2+4x)(8x2-6x)\u003Cbr>\u003Cbr>3) (-6x2+9x+9)(8x2+8x-8) 4) (9x2+8x)(-1x2+8x-1)\u003Cbr>\u003Cbr>5) (-3x2+3x-7)(-6x2+8x+2) 6) (7x2-3x-2)(9x2+1x)\u003Cbr>\u003Cbr>7) (-6x2-6x)(-8x2-2x-1) 8) (7x2-9x-8)(2x2+4x)\u003Cbr>\u003Cbr>9) (-6x2-5x)(-9x2+1x+8) 10) (-1x2+6x+4)(8x2+9x+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 4 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4 1-10)[ 4](Math www.CommonCoreSheets.com 4 1-10)[ 1-10](Math www.CommonCoreSheets.com 4 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.\u003Cbr>1) (1x2+7x)(-2x2-8x) 2) (5x2+4x)(8x2-6x)\u003Cbr>1x2 7x 5x2 4x |  |  |  |  |  | Answers\u003Cbr>1.  -2x4-22x3-56x2  2.  40x4+2x3-24x2  3.  -48x4+24x3+192x2-0x-72  4.  -9x4+64x3+55x2-8x  5.  18x4-42x3+60x2-50x-14  6.  63x4-20x3-21x2-2x  7.  48x4+60x3+18x2+6x  8.  14x4+10x3-52x2-32x  9.  54x4+39x3-53x2-40x \u003Cbr>10.  -8x4+39x3+78x2+84x+32  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| -2x2 -8x | -2x4 -14x3 -8x3 -56x2\u003Cbr>8x2\u003Cbr>-6x\u003Cbr>40x4 32x3 -30x3 -24x2 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) (-6x2+9x+9)(8x2+8x-8)\u003Cbr>-6x2 9x 9\u003Cbr>8x2 -48x4 72x3 72x2 8x -48x3 72x2 72x-8 48x2 -72x -72\u003Cbr>\u003Cbr>5) (-3x2+3x-7)(-6x2+8x+2)\u003Cbr>-3x2 3x -7 |  | 4) (9x2+8x)(-1x2+8x-1)\u003Cbr>9x2 8x |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  | -1x2 8x-1 |  | -9x4 -8x3 72x3 64x2 -9x2 -8x |  |  |  |  |  |  |  |  |  |  |  |\n|  |  | 6) (7x2-3x-2)(9x2+1x)\u003Cbr>7x2 -3x -2 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| -6x2\u003Cbr>8x 2 | 18x4 -18x3 42x2 -24x3 24x2 -56x -6x2 6x -14 | 9x2\u003Cbr>1x | 63x4 -27x3 -18x2 7x3 -3x2 -2x |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) (-6x2-6x)(-8x2-2x-1)\u003Cbr>-6x2 -6x |  | 8) (7x2-9x-8)(2x2+4x)\u003Cbr>7x2 -9x -8 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| -8x2 -2x-1 | 48x4 48x3 12x3 12x2 6x2 6x | 2x2\u003Cbr>4x | 14x4 -18x3 -16x2 28x3 -36x2 -32x |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) (-6x2-5x)(-9x2+1x+8)\u003Cbr>-6x2 -5x |  | 10) (-1x2+6x+4)(8x2+9x+8)\u003Cbr>-1x2 6x 4\u003Cbr>8x2 -8x4 9x -9x3 8 -8x2\u003Cbr>48x3 54x2\u003Cbr>48x\u003Cbr>32x2 36x 32\u003Cbr> |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| -9x2\u003Cbr>1x 8 | 54x4 45x3 -6x3 -5x2 -48x2 -40x |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  | 90 |  | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nExpanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method. \u003Cbr>-9x4 +64x 3 +55x 2-8x 63x4-20x 3-21x 2-2x\u003Cbr>18x4-42x 3 +60x 2-50x-14\u003Cbr>-2x4-22x 3-56x 2 -48x4 +24x 3 +192x 2-0x-\u003Cbr>72 40x4 +2x 3-24x 2\u003Cbr>1) (1x2+7x)(-2x2-8x) 2) (5x2+4x)(8x2-6x)\u003Cbr> 3)\u003Cbr>5) (-6x2+9x+9)(8x2+8x-8) 4)\u003Cbr>\u003Cbr>(-3x2+3x-7)(-6x2+8x+2) 6)\u003Cbr> (9x2+8x)(-1x2+8x-1)\u003Cbr>\u003Cbr>(7x2-3x-2)(9x2+1x)\u003Cbr>\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4","cbCaivrDmAclrv6F","https://ap.wps.com/l/cbCaivrDmAclrv6F","pdf",53372,"English","# Expand each problem using the box method\n## Problems 1-10\n## Answers (answer key)","[{\"question\":\"What technique is used to expand the polynomial expressions in these problems?\",\"answer\":\"The worksheet uses the box method to expand each product into a full polynomial.\"},{\"question\":\"How many expansion problems are included?\",\"answer\":\"There are 10 problems labeled 1 through 10.\"},{\"question\":\"Where can the completed answers be found?\",\"answer\":\"The document includes an Answers section with a key showing the expanded results for problems 1 through 10.\"}]","Expanding Polynomials Using the Box Method - Expand Each Problem | PDF",1790772424]