SOLUTION: Could you please help me with factoring this problem? 6c+c^2-27 Thank you!!

Algebra ->  Equations -> SOLUTION: Could you please help me with factoring this problem? 6c+c^2-27 Thank you!!      Log On


   

Question 204029: Could you please help me with factoring this problem?
6c+c^2-27
Thank you!!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
6c%2Bc%5E2-27 Rearrange:
c%5E2%2B6c-27 The factors will look like this:
%28c%2Bm%29%28c%2Bn%29 where: m%2An+=+-27 and m%2Bn+=+6
Let's try some pairs of m&n's
m....n
------
3....-9 3%2A%28-9%29+=+-27 and 3%2B%28-9%29+=+-6 No good.
-3....9 %28-3%29%2A9+=+-27 and -3%2B9+=+6 OK!
highlight%28c%5E2%2B6c-27+=+%28c-3%29%28c%2B9%29%29