My Math Forum Factoring Polynomials:

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 September 26th, 2010, 10:51 AM #1 Member   Joined: Sep 2008 Posts: 97 Thanks: 0 Factoring Polynomials: I am just starting to learn about factoring polynomials and plugged this problem into mathway.com m(m-n)-2n(n-m) I've figured out most of the steps but i'm having trouble with the final answer. "In this problem and 2-1=1, so insert 2 as the right hand term of one factor and -1 as the right-hand term of the other factor. (m+2n)(m-n)" This is as far as i've gotten: How do i get the final answer? Can someone explain it a little more?
 September 26th, 2010, 11:04 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs Re: Factoring Polynomials: If you've got: m(m - n) - 2n(n - m) and you want to factor it, use (m - n) = -(n - m) to rewrite it as: m(m - n) + 2n(m - n) then, factor out the (m - n) common to both terms as follows: (m - n)(m + 2n) and it is now factored.
 September 26th, 2010, 01:55 PM #3 Member   Joined: Sep 2008 Posts: 97 Thanks: 0 Re: Factoring Polynomials: This is interesting. ... I think i'll try this one out on some of my problems. Thank you!

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