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September 26th, 2010, 11:51 AM   #1
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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?
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September 26th, 2010, 12:04 PM   #2
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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.
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September 26th, 2010, 02:55 PM   #3
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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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