SOLUTION: 2x^2+11x-6/x+6

Question 37751: 2x^2+11x-6/x+6
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The key is to factor the numerator! This is usually a tough factoring problem, but since the denominator has a factor of (x+6), you might just expect a factor of (x+6) in the numerator also. Otherwise, there won't be anything to do in this problem.

I'd start with , and realize it has to start out
.

Expecting the factor of x+6 to show up here, I would next try:
.

Since the LAST term has to be a -6, this means that the blank space left in the previous step will have to be -1. Do you follow this?
. Now, check the middle term: 12x - 1x = + 11x.

Divide out the x+6 factors, and you have a final answer of .

R^2 at SCC
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