{"id":18661,"date":"2016-11-07T02:14:11","date_gmt":"2016-11-07T02:14:11","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=18661"},"modified":"2016-11-07T02:14:11","modified_gmt":"2016-11-07T02:14:11","slug":"math-factoring-expressions-that-already-have-brackets","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-factoring-expressions-that-already-have-brackets\/","title":{"rendered":"Math: Factoring expressions that already have brackets"},"content":{"rendered":"

The tutor shows a technique for factoring expressions that contain brackets. The technique may be called compound factoring.<\/h1>\n

Example: factor (2x-1)2<\/sup> – 5(2x-1) – 24<\/strong><\/p>\n

Solution:<\/p>\n

    \n
  1. Substitue A for (2x-1), then rewrite:
    \nA2<\/sup> – 5A – 24\n<\/li>\n
  2. \nThe expression is now an easy trinomial (see my post here<\/a>) and factors like so:
    \n(A – 8)(A + 3)\n<\/li>\n
  3. \nNow resubstitute (2x-1) for A:
    \n((2x-1) -8)((2x-1) + 3)\n<\/li>\n
  4. \nSimplifying, we get
    \n(2x-9)(2x+2)\n<\/li>\n<\/ol>\n

    The substitution method is very useful for this type of question:)<\/p>\n

    Source:<\/p>\n

    Travers, Kenneth et al. Using Advanced Algebra<\/u>. Toronto: Doubleday Canada, 1977.<\/p>\n

    Jack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"

    The tutor shows a technique for factoring expressions that contain brackets. The technique may be called compound factoring. Example: factor (2x-1)2 – 5(2x-1) – 24 Solution: Substitue A for (2x-1), then rewrite: A2 – 5A – 24 The expression is …<\/p>\n

    Math: Factoring expressions that already have brackets<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[2013],"class_list":["post-18661","post","type-post","status-publish","format-standard","hentry","category-math","tag-compound-factoring"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/18661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=18661"}],"version-history":[{"count":5,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/18661\/revisions"}],"predecessor-version":[{"id":18666,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/18661\/revisions\/18666"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=18661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=18661"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=18661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}