My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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.
J.Xavier is offline  
 
May 5th, 2013, 05:29 PM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 18,250
Thanks: 1439

AB + AC ? A(B + C), where A = 2(2x + 7)(x - 3), B = 2(x - 3) and C = 2x + 7.
skipjack is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
factoring, polynomials



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Factoring Polynomials IDoNotLikeMath Algebra 4 July 10th, 2012 09:59 PM
Factoring Polynomials Pumpkin99 Algebra 1 October 6th, 2011 08:58 PM
Factoring Polynomials: cafegurl Algebra 2 September 26th, 2010 02:55 PM
Factoring 3rd degree polynomials jokerthief Algebra 5 October 6th, 2007 03:23 PM
Factoring Polynomials BrandonFlorida Real Analysis 3 May 26th, 2007 12:14 PM





Copyright © 2017 My Math Forum. All rights reserved.