SOLUTION: 3n squared + 21n - 24 factor completely how do you do this?

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Question 17092: 3n squared + 21n - 24 factor completely how do you do this?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
3n%5E2+%2B+21n+-+24 First, factor a 3.
3%28n%5E2+%2B+7n+-+8%29 Now for the parentheses, look for two integers whose sum is +7 and whose product is -8.
Try -1 and 8. (-1)+(8) = 7, and (-1)(8) = -8
The factors of n%5E2+%2B+7n+-+8 are: (n - 1)(n + 8)
Finally:
3n%5E2+%2B+21n+-+24+=+3%28n+-+1%29%28n+%2B+8%29