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 Algebra Pre-Algebra and Basic Algebra Math Forum

 May 5th, 2013, 04:08 PM #1 Newbie   Joined: Apr 2013 Posts: 8 Thanks: 0 help factoring polynomials I recently got a college algebra textbook from the public library and in the chapter on factoring polynomials I encountered an example where I don't understand how the author got to the solution: 4(2x + 7)(x - 3)^2 + 2(2x + 7)^2 (x - 3) = 2(2x + 7)(x - 3) [2(x - 3) + (2x + 7)] = 2(2x + 7)(x - 3)(2x - 6 + 2x + 7) = 2(2x + 7)(x - 3)(4x + 1) I thought that if you multiply the factors you would get the polynomials you had at the beginning. I see that (2x + 7) and (x - 3) are factors but how did he get the others? Why did he sum the last terms? Any help appreciated. May 5th, 2013, 04:29 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,370 Thanks: 2007 AB + AC ? A(B + C), where A = 2(2x + 7)(x - 3), B = 2(x - 3) and C = 2x + 7. Tags factoring, polynomials Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post IDoNotLikeMath Algebra 4 July 10th, 2012 08:59 PM Pumpkin99 Algebra 1 October 6th, 2011 07:58 PM cafegurl Algebra 2 September 26th, 2010 01:55 PM jokerthief Algebra 5 October 6th, 2007 02:23 PM BrandonFlorida Real Analysis 3 May 26th, 2007 11:14 AM

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