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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: 19,171 Thanks: 1643 
AB + AC ? A(B + C), where A = 2(2x + 7)(x  3), B = 2(x  3) and C = 2x + 7.


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