SOLUTION: factor the trinomial. m^2 + 4mn

SOLUTION: factor the trinomial. m^2 + 4mn - 12n^2

Question 103798This question is from textbook beginning and intermediate algebra
: factor the trinomial.
m^2 + 4mn - 12n^2
This question is from textbook beginning and intermediate algebra

Found 2 solutions by jim_thompson5910, chriscad:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First think of two numbers that multiply to -12 (the last coefficient) and add to 4 (the second coefficient)

So after going through a list of numbers we get the numbers 6 and -2. These numbers both multiply to -12 and add to 4 (ie -6+2=4 and -6*2=-12)

So now rewrite the expression by replacing the 4mn with 6mn-2mn (remember they add to 4)

Group like terms

Factor out the GCF out of each group

Combine like terms

So factors to . Notice how foils to
Answer by chriscad(1) (Show Source): You can put this solution on YOUR website!
answer is (m-2n)(m+6n)
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