[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522509-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522509-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","multiplying-polynomials-worksheet","Multiplying Polynomials - Worksheet","","Multiplying Polynomials worksheet from Kuta Software for Infinite Algebra 1, focused on finding the product of pairs of polynomial expressions. Students expand and simplify products of binomials and monomials across multiple variable types (v, x, n, p, m, a, k, r) and higher-degree terms. Problems require distribution, combining like terms, and careful handling of negative signs, including expressions with squared and cubed factors.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/multiplying-polynomials-worksheet/522509/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/multiplying-polynomials-worksheet/522509.png","ImageObject",300,407,{"name":42,"@type":43},"Aria","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the main task on this worksheet?","Question",{"text":63,"@type":64},"Find the product of each given polynomial expression by expanding and simplifying.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of expressions are included?",{"text":68,"@type":64},"The worksheet includes products of monomials and binomials, along with binomial-by-binomial products that may contain squared or cubed terms.",{"name":70,"@type":61,"acceptedAnswer":71},"Do students need to handle negative signs?",{"text":72,"@type":64},"Yes. Several problems include negative coefficients and factors, so students must distribute correctly and combine like terms carefully.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},522509,1791710518,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":101,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144,"preview_page_count":4},2336464648322,"https://ap-avatar.wpscdn.com/avatar/2200025388227c56fec?_k=1778556882303663488","Kuta Software-Infinite Algebra 1 Name___________________________________  \nMultiplying Polynomials Date________________ Period____  \nFind each product.  \n1) 6v(2v + 3) 2) 7(−5v − 8)  \n3) 2x(−2x − 3) 4) −4(v + 1)  \n5) (2n + 2)(6n + 1) 6) (4n + 1)(2n + 6)  \n7) (x − 3)(6x − 2) 8) (8 p − 2)(6 p + 2)  \n9) (6 p + 8)(5 p − 8) 10) (3m − 1)(8m + 7)  \n11) (2a − 1)(8a − 5) 12) (5n + 6)(5n − 5)  \n13) (4 p − 1) 2 14) (7x − 6)(5x + 6)  \n15) (6n + 3)(6n − 4) 16) (8n + 1)(6n − 3)  \n17) (6k + 5)(5k + 5) 18) (3x − 4)(4x + 3)  \n19) (4a + 2)(6a2 − a + 2) 20) (7k − 3)(k2 − 2k + 7)  \n21) (7r2 − 6r − 6)(2r − 4) 22) (n2 + 6n − 4)(2n − 4)  \n23) (6n2 − 6n − 5)(7n2 + 6n − 5)  \n24) (m2 − 7m − 6)(7m2 − 3m − 7)  \nKuta Software-Infinite Algebra 1 Multiplying Polynomials  \nFind each product.  \n1) 6v(2v + 3)  \n12v2 + 18v  \nName___________________________________  \nDate________________ Period____  \n2) 7(−5v − 8)  \n−35v − 56  \n3) 2x(−2x − 3) 4) −4(v + 1)  \n−4x2 − 6x −4v − 4  \n5) (2n + 2)(6n + 1) 6) (4n + 1)(2n + 6)  \n12n2 + 14n + 2 8n2 + 26n + 6  \n7) (x − 3)(6x − 2) 8) (8 p − 2)(6 p + 2)  \n6x2 − 20x + 6 48 p2 + 4 p − 4  \n9) (6 p + 8)(5 p − 8) 10) (3m − 1)(8m + 7)  \n30 p2 − 8 p − 64 24m2 + 13m − 7  \n11) (2a − 1)(8a − 5) 12) (5n + 6)(5n − 5)  \n16a2 − 18a + 5 25n2 + 5n − 30  \n13) (4 p − 1) 2 14) (7x − 6)(5x + 6)  \n16 p2 − 8 p + 1 35x2 + 12x − 36  \n15) (6n + 3)(6n − 4) 16) (8n + 1)(6n − 3)  \n36n2 − 6n − 12 48n2 − 18n − 3  \n17) (6k + 5)(5k + 5) 18) (3x − 4)(4x + 3)  \n30k2 + 55k + 25 12x2 − 7x − 12  \n19) (4a + 2)(6a2 − a + 2) 20) (7k − 3)(k2 − 2k + 7)  \n24a3 + 8a2 + 6a + 4 7k3 − 17k2 + 55k − 21  \n21) (7r2 − 6r − 6)(2r − 4) 22) (n2 + 6n − 4)(2n − 4)  \n14r3 − 40r2 + 12r + 24 2n3 + 8n2 − 32n + 16  \n23) (6n2 − 6n − 5)(7n2 + 6n − 5)  \n42n4 − 6n3 − 101n2 + 25  \n24) (m2 − 7m − 6)(7m2 − 3m − 7)  \n7m4 − 52m3 − 28m2 + 67m + 42  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiqGFYgR4ONuj","https://ap.wps.com/l/cbCaiqGFYgR4ONuj","pdf",36774,"English","# Find each product\n## Polynomial multiplication problems 1-24","[{\"question\":\"What is the main task on this worksheet?\",\"answer\":\"Find the product of each given polynomial expression by expanding and simplifying.\"},{\"question\":\"What types of expressions are included?\",\"answer\":\"The worksheet includes products of monomials and binomials, along with binomial-by-binomial products that may contain squared or cubed terms.\"},{\"question\":\"Do students need to handle negative signs?\",\"answer\":\"Yes. Several problems include negative coefficients and factors, so students must distribute correctly and combine like terms carefully.\"}]","Multiplying Polynomials - Worksheet | PDF",1791425858,15]