{"id":37474,"date":"2024-06-26T08:19:38","date_gmt":"2024-06-26T08:19:38","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=37474"},"modified":"2024-06-26T08:19:38","modified_gmt":"2024-06-26T08:19:38","slug":"solve-the-following-quadratic-equation-by-factoring-x211x280","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/","title":{"rendered":"Solve the following quadratic equation by factoring. x2+11x+28=0"},"content":{"rendered":"

Question:-<\/strong> Solve the following quadratic equation by factoring. x2+11x+28=0<\/p>\n

Answer:<\/strong> To solve this quadratic equation by factoring, we’ll follow these steps<\/span><\/span><\/p>\n

First, let’s identify the coefficients: a = 1, b = 11, c = 28<\/span><\/span><\/p>\n

Thus we have two numbers which, when they are multiplied, will produce ac and that is 1*28 =28 and adding two numbers will produce b as 11. These numbers are 7 and 4<\/span><\/span><\/p>\n

We can rewrite the middle term using these numbers: x^2+7x+4x+28=0<\/span><\/span><\/p>\n

Now we can factor by grouping: Again, it gets to simplify the equation to get ( 2x + 7) + (4x + 28) = 0 <\/span><\/span><\/p>\n

thus minimizing the expression gets x(x + 7) + 4(x + 7) = 0 <\/span><\/span><\/p>\n

In order to factor it the expression gets into (x + 7)(x + 4) = 0<\/span><\/span><\/p>\n

Using the zero-product property, we can set each factor to zero<\/span><\/span><\/p>\n

So, we get x = -7 or x = -4 (after substituting x + 7 = 0 or x + 4 = 0. )<\/span><\/span><\/p>\n

As such, they are the solutions to the equation x\u00b2 + 11x + 28 = 0; this means that the solutions are -7 and -4.<\/span><\/span><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Question:- Solve the following quadratic equation by factoring. x2+11x+28=0 Answer: To solve this quadratic equation by factoring, we’ll follow these steps First, let’s identify the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"yoast_head":"\nSolve the following quadratic equation by factoring. x2+11x+28=0<\/title>\n<meta name=\"description\" content=\"Solve the following quadratic equation by factoring. x2+11x+28=0\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solve the following quadratic equation by factoring. x2+11x+28=0\" \/>\n<meta property=\"og:description\" content=\"Solve the following quadratic equation by factoring. x2+11x+28=0\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - Greatassignmenthelp.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Greatassignmenthelpus\" \/>\n<meta property=\"article:published_time\" content=\"2024-06-26T08:19:38+00:00\" \/>\n<meta name=\"author\" content=\"Jay Cooper\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:site\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jay Cooper\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\"},\"author\":{\"name\":\"Jay Cooper\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\"},\"headline\":\"Solve the following quadratic equation by factoring. x2+11x+28=0\",\"datePublished\":\"2024-06-26T08:19:38+00:00\",\"dateModified\":\"2024-06-26T08:19:38+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\"},\"wordCount\":160,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\",\"name\":\"Solve the following quadratic equation by factoring. x2+11x+28=0\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\"},\"datePublished\":\"2024-06-26T08:19:38+00:00\",\"dateModified\":\"2024-06-26T08:19:38+00:00\",\"description\":\"Solve the following quadratic equation by factoring. x2+11x+28=0\",\"breadcrumb\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Solve the following quadratic equation by factoring. x2+11x+28=0\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\",\"name\":\"Questions - Greatassignmenthelp.com\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.greatassignmenthelp.com\/questions\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\",\"name\":\"greatassignmenthelp\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png\",\"contentUrl\":\"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png\",\"width\":159,\"height\":52,\"caption\":\"greatassignmenthelp\"},\"image\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/Greatassignmenthelpus\",\"https:\/\/x.com\/assignmentgreat\",\"https:\/\/www.pinterest.com\/greatassignment\/\",\"https:\/\/www.linkedin.com\/company\/great-assignment-help\/\",\"https:\/\/www.instagram.com\/greatassignmenthelp\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\",\"name\":\"Jay Cooper\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g\",\"caption\":\"Jay Cooper\"},\"sameAs\":[\"https:\/\/www.greatassignmenthelp.com\/questions\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Solve the following quadratic equation by factoring. x2+11x+28=0","description":"Solve the following quadratic equation by factoring. x2+11x+28=0","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/","og_locale":"en_US","og_type":"article","og_title":"Solve the following quadratic equation by factoring. x2+11x+28=0","og_description":"Solve the following quadratic equation by factoring. x2+11x+28=0","og_url":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/","og_site_name":"Questions - Greatassignmenthelp.com","article_publisher":"https:\/\/www.facebook.com\/Greatassignmenthelpus","article_published_time":"2024-06-26T08:19:38+00:00","author":"Jay Cooper","twitter_card":"summary_large_image","twitter_creator":"@assignmentgreat","twitter_site":"@assignmentgreat","twitter_misc":{"Written by":"Jay Cooper","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#article","isPartOf":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/"},"author":{"name":"Jay Cooper","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e"},"headline":"Solve the following quadratic equation by factoring. x2+11x+28=0","datePublished":"2024-06-26T08:19:38+00:00","dateModified":"2024-06-26T08:19:38+00:00","mainEntityOfPage":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/"},"wordCount":160,"commentCount":0,"publisher":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization"},"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/","url":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/","name":"Solve the following quadratic equation by factoring. x2+11x+28=0","isPartOf":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#website"},"datePublished":"2024-06-26T08:19:38+00:00","dateModified":"2024-06-26T08:19:38+00:00","description":"Solve the following quadratic equation by factoring. x2+11x+28=0","breadcrumb":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/solve-the-following-quadratic-equation-by-factoring-x211x280\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.greatassignmenthelp.com\/questions\/"},{"@type":"ListItem","position":2,"name":"Solve the following quadratic equation by factoring. x2+11x+28=0"}]},{"@type":"WebSite","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#website","url":"https:\/\/www.greatassignmenthelp.com\/questions\/","name":"Questions - Greatassignmenthelp.com","description":"","publisher":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.greatassignmenthelp.com\/questions\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#organization","name":"greatassignmenthelp","url":"https:\/\/www.greatassignmenthelp.com\/questions\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/","url":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png","contentUrl":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-content\/uploads\/2022\/06\/logo-footer.png","width":159,"height":52,"caption":"greatassignmenthelp"},"image":{"@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/Greatassignmenthelpus","https:\/\/x.com\/assignmentgreat","https:\/\/www.pinterest.com\/greatassignment\/","https:\/\/www.linkedin.com\/company\/great-assignment-help\/","https:\/\/www.instagram.com\/greatassignmenthelp"]},{"@type":"Person","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e","name":"Jay Cooper","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/90b1a211fe4bf64a5776d70d26f75d0f?s=96&d=mm&r=g","caption":"Jay Cooper"},"sameAs":["https:\/\/www.greatassignmenthelp.com\/questions"]}]}},"_links":{"self":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/37474"}],"collection":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/comments?post=37474"}],"version-history":[{"count":1,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/37474\/revisions"}],"predecessor-version":[{"id":37475,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/posts\/37474\/revisions\/37475"}],"wp:attachment":[{"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/media?parent=37474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/categories?post=37474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.greatassignmenthelp.com\/questions\/wp-json\/wp\/v2\/tags?post=37474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}