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 May 5th, 2013, 05:08 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, 05:29 PM #2 Global Moderator   Joined: Dec 2006 Posts: 19,981 Thanks: 1853 AB + AC ? A(B + C), where A = 2(2x + 7)(x - 3), B = 2(x - 3) and C = 2x + 7.

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