[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522610-105":3,"detail-sidebar-cat-0-en-105":73,"doc-detail-522610-en":122},{"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":66,"head_meta":68,"extra_data":70,"updated_unix":72},105,"en","completing-the-square-find-the-value-of-c","Completing the Square - Find the value of c","","Worksheet for Kuta Software: Infinite Algebra 2 focused on completing the square. Prompts ask students to find the value of c that turns each quadratic expression into a perfect-square form. The problems include multiple variables (x, z, r, a, m, n) with different coefficients and signs, requiring calculation and substitution of c so the expression can be written as (variable ± something)^2. Suitable for practice and reinforcement of the completing-square technique.",{"@graph":14,"@context":65},[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/completing-the-square-find-the-value-of-c/522610/",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/completing-the-square-find-the-value-of-c/522610.png","ImageObject",300,407,{"name":42,"@type":43},"Rowan","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],{"name":60,"@type":61,"acceptedAnswer":62},"Do the problems use one variable or multiple variables?","Question",{"text":63,"@type":64},"The problems use multiple variables, including x, z, r, a, m, and n.","Answer","https://schema.org",{"og:url":32,"og:type":67,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":69,"canonical":32},"index,follow",{"doc_id":71,"site_id":7},522610,1791518987,{"code":4,"msg":74,"data":75},"success",[76,80,84,87,92,97,102,107,111,114,118],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":77,"show_sort_weight":78,"slug":79},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":81,"show_sort_weight":82,"slug":83},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":85,"slug":86},70,"exam",{"id":88,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},5,"Comic",60,"comic",{"id":93,"doc_module":4,"doc_module_name":25,"category_name":94,"show_sort_weight":95,"slug":96},6,"Technology",50,"technology",{"id":98,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},7,"Healthcare",40,"healthcare",{"id":103,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":108,"show_sort_weight":109,"slug":110},"Religion & Spirituality",20,"religion-spirituality",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":109,"slug":113},"World Cup","world-cup",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":115,"slug":117},10,"Lifestyle","lifestyle",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":88,"slug":121},19,"General","general",{"code":4,"msg":74,"data":123},{"doc_id":71,"user_id":124,"nickname":42,"user_avatar":125,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":131,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":12,"update_tm":135,"read_time":88,"preview_page_count":4},1099514067415,"https://ap-avatar.wpscdn.com/avatar/100002539d78ffe74a7?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779092875211072502","Kuta Software-Infinite Algebra 2 Name   \nCompleting the Square Date  Period   \nFind the value of c that completes the square.  \n1) x 2 + 6x + c 2) z 2 − 10z + c  \n3) x 2 − 34x + c 4) r2 + 32r + c  \n5) r2 − 6r + c 6) r2 + 20r + c  \n7) x 2 − 38x + c 8) a 2 + 12a + c  \n25  10) a 2 − 7a + c  \n9) x 2 − x + c  \n13  \n11 12) m 2 + 3m + c  \n11) z 2 +  8 z + c  \n13) m 2 + 40m + c 14) x 2 + 13x + c  \n15) x 2 − x + c  1  \n16) n 2 − n + c  \n2  \n17) a 2 − 8a + c 2 7  \n18) x + ~~ ~~ x + c  \nKuta Software-Infinite Algebra 2  \nCompleting the Square  \nFind the value of c that completes the square.  \n1) x 2 + 6x + c  \n9  \nName  Date  Period   \n2) z 2 − 10z + c  \n25  \n3) x 2 − 34x + c 289  \n5) r2 − 6r + c 9  \n7) x 2 − 38x + c 361  \n9) x 2 − 2513x + c 625  \n676  \n11) z 2 + ~~ ~~118z + c 121  \n256  \n13) m 2 + 40m + c  \n400  \n4) r2 + 32r + c 256  \n6) r2 + 20r + c 100  \n8) a 2 + 12a + c 36  \n10) a 2 − 7a + c 49  \n4  \n12) m 2 + 3m + c 9  \n4  \n14) x 2 + 13x + c 169  \n4  \n15) x 2 − x + c 2 1 1  \n16) n − ~~ ~~ n + c ~~ ~~  \n 1  2 16  \n4  \n17) a 2 − 8a + c 16 7 49  \n18) x 2 +  13  x + c  676  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCain38ZHFqb0mY","https://ap.wps.com/l/cbCain38ZHFqb0mY","pdf",26489,"English","# Find the value of c that completes the square\n## Practice problems with completing the square","[{\"question\":\"Do the problems use one variable or multiple variables?\",\"answer\":\"The problems use multiple variables, including x, z, r, a, m, and n.\"}]","Completing the Square - Find the value of c | PDF",1791425968]