[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-366096-105":59,"doc-detail-366096-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","lesson-guide-factoring-trinomials-a1-key-questions-and-examples","Lesson Guide - Factoring Trinomials (a=1) - Key Questions and Examples","","Lesson guide for mastering how to factor trinomials when the leading coefficient is 1 (a=1). It defines a trinomial and explains how to identify the leading coefficient, then outlines the process of finding two binomials whose product recreates the original trinomial. The guide includes a quick review of multiplying binomials, a closer look with reasoning for key terms, multiple worked examples, and a practice section with an answer key.",{"@graph":69,"@context":123},[70,84,106],{"@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/lesson-guide-factoring-trinomials-a1-key-questions-and-examples/366096/",{"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/lesson-guide-factoring-trinomials-a1-key-questions-and-examples/366096.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is a trinomial and what does the leading coefficient (a) represent when factoring?","Question",{"text":113,"@type":114},"A trinomial is an algebraic expression with three terms. The leading coefficient of a trinomial is the value of a, the term involving the highest power variable.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you factor a trinomial when a=1?",{"text":118,"@type":114},"Find two numbers that add to the middle term and multiply to the constant term. Use them to form two binomials whose product matches the original trinomial.",{"name":120,"@type":111,"acceptedAnswer":121},"What practice problems are included for factoring trinomials?",{"text":122,"@type":114},"The guide provides four trinomials in a “Try On Your Own” section, asking you to factor each one. 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What is a trinomial?  \nA trinomial is an algebraic expression with   terms.  \nThe leading coefficient of a trinomial is the value of a, the term involving 􀀡 ! .  \nIn this lesson, you will learn to factor trinomials with a leading coefficient of 1 (a=1) .  \nQuick Review: Multiplying Binomials  \nMultiply the two binomials and express the product in 􀀡􀀡! + 􀀡􀀢 + 􀀡 form  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \nTake a Closer Look…  \nA: The leading coefficient equals 1.  \nB: The middle term, 5x, was determined by using   .  \nC: The outside term, 6, was determined by using    \nWhenever you try to factor a trinomial in 􀀡􀀡􀀡 + 􀀡􀀢 + 􀀡 form, where a=1, you have to find two binomials that, when multiplied together, will result in the original trinomial.  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \nExample \\#1  \nFactor the trinomial:  \nTo factor this trinomial, you must find two numbers:  \nADD to   and MULTIPLY to    \nCheck Your Work:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3  \nExample \\#2  \nFactor the trinomial:  \nFind two numbers that ADD to   and MULTIPLY to    \nWrite all of the factor possibilities in the box below until you find a pair that works:  \nCheck Your Work:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 4  \nExample \\#3  \nFactor the trinomial:  \nFind two numbers that ADD to   and MULTIPLY to    \nWrite all of the factor possibilities in the box below until you find a pair that works:  \nCheck Your Work:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 5  \nExample \\#4  \nFactor the trinomial:  \nFind two numbers that ADD to   and MULTIPLY to    \nWrite all of the factor possibilities in the box below until you find a pair that works:  \nCheck Your Work:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 6  \nTry On Your Own!  \nFactor each trinomial:  \n1.) 􀀡 ! + 11􀀡 + 28  \n2.) 􀀡 ! + 3􀀡 + 2  \n3.) 􀀡 ! − 2􀀡 − 15  \n4.) 􀀡 ! − 12􀀡 + 20  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 7  \nANSWER KEY  \nQuick Review: 􀀡 ! + 5􀀡 + 6  \nExample \\#1: (􀀡 + 4)(􀀡 + 2)  \nExample \\#2: (􀀡 + 5)(􀀡 + 4)  \nExample \\#3: (􀀡 − 8)(􀀡 + 3)  \nExample \\#4: (􀀡 − 9)(􀀡 − 3)  \nTry On Your Own:  \n1.) (􀀡 + 4)(􀀡 + 7)  \n2.) (􀀡 + 1)(􀀡 + 2)  \n3.) (􀀡 + 3)(􀀡 − 5)  \n4.) (􀀡 − 2)(􀀡 − 10)  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 8","cbCaikKMkofxJUad","https://ap.wps.com/l/cbCaikKMkofxJUad","pdf",1879674,"English","# Key Questions\n## What is a trinomial?\n## Leading coefficient and factoring approach\n# Quick Review: Multiplying Binomials\n# Take a Closer Look\n# Examples 1-4\n# Try On Your Own\n## Factor each trinomial\n# Answer Key","[{\"question\":\"What is a trinomial and what does the leading coefficient (a) represent when factoring?\",\"answer\":\"A trinomial is an algebraic expression with three terms. The leading coefficient of a trinomial is the value of a, the term involving the highest power variable.\"},{\"question\":\"How do you factor a trinomial when a=1?\",\"answer\":\"Find two numbers that add to the middle term and multiply to the constant term. Use them to form two binomials whose product matches the original trinomial.\"},{\"question\":\"What practice problems are included for factoring trinomials?\",\"answer\":\"The guide provides four trinomials in a “Try On Your Own” section, asking you to factor each one. An answer key follows with factored forms for all four.\"}]","Lesson Guide - Factoring Trinomials (a=1) - Key Questions and Examples | PDF",1790163815]