[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634680-105":59,"doc-detail-634680-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","factorising-quadratic-equations-sheet-9","Factorising Quadratic Equations - Sheet 9","","This document provides a structured practice sheet for factorising quadratic equations, specifically focusing on expressions where the operations within the factors are either both addition or both subtraction. It contains sixteen algebraic problems for students to solve, followed by a comprehensive answer key that details the fully factored forms and the corresponding roots for each equation. The material is designed as a learning resource to assist students in mastering the algebraic techniques required to solve quadratic equations effectively and accurately.",{"@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/factorising-quadratic-equations-sheet-9/634680/",{"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/factorising-quadratic-equations-sheet-9/634680.png","ImageObject",300,407,{"name":92,"@type":93},"Taylor Morgan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of quadratic equations are included in this sheet?","Question",{"text":112,"@type":113},"The sheet covers quadratic equations where the operations within the brackets are either both addition or both subtraction, providing a focused practice environment.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the results presented in the answer key?",{"text":117,"@type":113},"The answer key provides the original equation, its factored form in brackets, and the final solved values for the variable in each of the sixteen problems.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the goal of this practice sheet?",{"text":121,"@type":113},"The primary goal is to help students practice and refine their ability to factorise quadratic equations and determine their roots through systematic exercises.","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},634680,1792886876,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},1099523885336,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","FACTORISING QUADRATIC EQUATIONS SHEET 9  \nFactorise these quadratic equations.  \nOperations in brackets are either both + or both –.  \n\n| 1) | 2x2 + 5x + 2 = 0 | (2x + 1)(x + 2) = 0 | x = -½ or-2 |\n| --- | --- | --- | --- |\n| 2) | 2x 2 + 4x + 2 = 0 | (2x +   )(x +   ) = 0 | x =   |\n| 3) | 2y2 + 11y + 5 = 0 |  |  |\n| 4) | 2y2 + 7y + 5 = 0 |  |  |\n| 5) | 2z2 + 7z + 6 = 0 |  |  |\n| 6) | 2z2 + 8z + 6 = 0 |  |  |\n| 7) | 2a2 + 12a + 10 = 0 |  |  |\n| 8) | 2a2 + 9a + 10 = 0 |  |  |\n| 9) | 2b2 – 7b + 3 = 0 |  |  |\n| 10) | 2b2 – 5b + 3 = 0 |  |  |\n| 11) | 2c2 – 9c + 4 = 0 |  |  |\n| 12) | 2c2 – 6c + 4 = 0 |  |  |\n| 13) | 2d2 – 10d + 8 = 0 |  |  |\n| 14) | 2d2 – 8d + 8 = 0 |  |  |\n| 15) | 2e2 – 15e + 7 = 0 |  |  |\n| 16) | 2e2 – 9e + 7 = 0 |  |  |\n\nFACTORISING QUADRATIC EQUATIONS SHEET 9 ANSWERS  \n\n| 1) | 2x2 + 5x + 2 = 0 | (2x + 1)(x + 2) = 0 | x = -½ or-2 |\n| --- | --- | --- | --- |\n| 2) | 2x 2 + 4x + 2 = 0 | (2x + 2)(x + 1) = 0 | x = -1 |\n| 3) | 2y2 + 11y + 5 = 0 | (2y + 1)(y + 5) = 0 | y = -½ or-5 |\n| 4) | 2y2 + 7y + 5 = 0 | (2y + 5)(y + 1) = 0 | y = - 2 or-1 |\n| 5) | 2z2 + 7z + 6 = 0 | (2z + 3)(z + 2) = 0 | z = - 2 or-2 |\n| 6) | 2z2 + 8z + 6 = 0 | (2z + 2)(z + 3) = 0 | z = -1 or-3 |\n| 7) | 2a2 + 12a + 10 = 0 | (2a + 2)(a + 5) = 0 | a = -1 or-5 |\n| 8) | 2a2 + 9a + 10 = 0 | (2a + 5)(a + 2) = 0 | a = - 2 or-2 |\n| 9) | 2b2 – 7b + 3 = 0 | (2b – 1)(b – 3) = 0 | b = ½ or 3 |\n| 10) | 2b2 – 5b + 3 = 0 | (2b – 3)(b – 1) = 0 | b = 2 or 1 |\n| 11) | 2c2 – 9c + 4 = 0 | (2c – 1)(c – 4) = 0 | c = ½ or 4 |\n| 12) | 2c2 – 6c + 4 = 0 | (2c – 4)(c – 1) = 0 | c = 2 or 1 |\n| 13) | 2d2 – 10d + 8 = 0 | (2d – 2)(d – 4) = 0 | d = 1 or 4 |\n| 14) | 2d2 – 8d + 8 = 0 | (2d – 4)(d – 2) = 0 | d = 2 |\n| 15) | 2e2 – 15e + 7 = 0 | (2e – 1)(e – 7) = 0 | e = ½ or 7 |\n| 16) | 2e2 – 9e + 7 = 0 | (2e – 7)(e – 1) = 0 | e = 2 or 1 |","cbCaidBqalex07KD","https://ap.wps.com/l/cbCaidBqalex07KD","pdf",137848,"English","# Factorising Quadratic Equations - Sheet 9\n## Practice Exercises\n## Answer Key","[{\"question\":\"What types of quadratic equations are included in this sheet?\",\"answer\":\"The sheet covers quadratic equations where the operations within the brackets are either both addition or both subtraction, providing a focused practice environment.\"},{\"question\":\"How are the results presented in the answer key?\",\"answer\":\"The answer key provides the original equation, its factored form in brackets, and the final solved values for the variable in each of the sixteen problems.\"},{\"question\":\"What is the goal of this practice sheet?\",\"answer\":\"The primary goal is to help students practice and refine their ability to factorise quadratic equations and determine their roots through systematic exercises.\"}]","Factorising Quadratic Equations - Sheet 9 | PDF",1792674280]