SOLUTION: Can you help me factor x^2-3x-2?

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Question 39267: Can you help me factor x^2-3x-2?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor: x%5E2-3x-2
Try this!
You are looking for two binomials of the form:
%28x%2Bm%29%28x%2Bn%29 where: m%2An+=+-2 and m%2Bn+=+-3
Let's see what we can find.
If m = 1 and n = -2, then m%2An+=+-2 (This is ok) and m%2Bn+=+-1 (but this won't do it).
Try m = -1 and n = 2, then m%2An+=+-2 (This is ok)and m%2Bn+=+1 (but this won't do either).
As you can see, we've exhausted the possibilities of the restriction on m and n, so the conclusion is that the expression:x%5E2-3x-2 is not factorable, therefore, it is prime.