[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-366077-105":59,"doc-detail-366077-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-by-completing-the-square","Lesson Guide - Factoring by Completing the Square","","Lesson guide for a K-12 math video on factoring and solving quadratic equations using completing the square. It introduces key questions about what a quadratic equation is and how to factor a trinomial by completing the square. The guide presents worked examples, outlining steps such as rearranging into a specific quadratic form, adding a value to both sides, and factoring to solve for x. Includes an answer key for multiple examples, plus an advanced practice example.",{"@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-by-completing-the-square/366077/",{"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-by-completing-the-square/366077.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the main topic of this lesson guide?","Question",{"text":113,"@type":114},"The lesson guide focuses on factoring and solving quadratic equations by completing the square.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What steps are used to factor by completing the square?",{"text":118,"@type":114},"The guide instructs students to rearrange into the required quadratic form, add the same value to both sides, then factor and solve for x.",{"name":120,"@type":111,"acceptedAnswer":121},"How does the guide handle advanced practice?",{"text":122,"@type":114},"It includes an advanced problem example that follows the same completing-the-square process, supported by an answer key.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},366077,1790290212,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:  \n____________________________________  \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nFactoring by Completing the Square  \nKey Questions  \n• What is a quadratic equation?  \n• How can you factor a trinomial by completing the square? What is a quadratic equation?  \nExample \\#1: Factor the quadratic  \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  \nExample \\#2: Factor the quadratic  \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  \nHow to Factor by Completing the Square  \nExample \\#3: Factor the quadratic  \nStep ONE: Rearrange if necessary (get into 􀀡􀀡􀀡 + 􀀡􀀢 + 􀀡 = 􀀡 form)  \nSTEP TWO: Add  \n􀀡 to both sides of the equation  \nSTEP THREE: Factor and solve for x  \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 \\#4: Solve for x by completing the square  \nStep ONE: Rearrange if necessary (get into 􀀡􀀡􀀡 + 􀀡􀀢 + 􀀡 = 􀀡 form)  \nSTEP TWO: Add  \n􀀡 to both sides of the equation  \nSTEP THREE: Factor and solve for x  \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  \n*Advanced Problem Example \\#5: Solve for x by completing the square  \nStep ONE: Rearrange if necessary (get into 􀀡􀀡􀀡 + 􀀡􀀢 + 􀀡 = 􀀡 form)  \nSTEP TWO: Add  \n􀀡 to both sides of the equation  \nSTEP THREE: Factor and solve for x  \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  \nANSWER KEY  \nExample \\#1 : 􀀡 = −3, 􀀡 = −2  \nExample \\#2: 􀀡 = −4  \nExample \\#3: 􀀡 = 􀀡 , 􀀡 = −􀀡  \nExample \\#4: 􀀡 = −􀀡 ± 􀀡 or 􀀡 = 􀀡 . 􀀡􀀢 , 􀀡 = −􀀡 . 􀀡􀀢  \nExample \\#5: 􀀡 = 􀀡 ± 􀀡 􀀡  \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","cbCaifIdf2GmlKI0","https://ap.wps.com/l/cbCaifIdf2GmlKI0","pdf",1160082,"English","# Key Questions\n## Example Problems\n## How to Factor by Completing the Square\n## Answer Key","[{\"question\":\"What is the main topic of this lesson guide?\",\"answer\":\"The lesson guide focuses on factoring and solving quadratic equations by completing the square.\"},{\"question\":\"What steps are used to factor by completing the square?\",\"answer\":\"The guide instructs students to rearrange into the required quadratic form, add the same value to both sides, then factor and solve for x.\"},{\"question\":\"How does the guide handle advanced practice?\",\"answer\":\"It includes an advanced problem example that follows the same completing-the-square process, supported by an answer key.\"}]","Lesson Guide - Factoring by Completing the Square | PDF",1790163762,15]