SOLUTION: I can not get this one to come out right. Can you help? Factor. -12x^3+36x^2 Thank you so much!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I can not get this one to come out right. Can you help? Factor. -12x^3+36x^2 Thank you so much!      Log On


   



Question 110400: I can not get this one to come out right. Can you help?
Factor.
-12x^3+36x^2
Thank you so much!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
-12x%5E3%2B36x%5E2
:
First, enumerate the factors of the first term:
-1+%2A+2%2A2%2A3%2Ax%2Ax%2Ax
:
Then the second term:
2%2A2%2A3%2A3%2Ax%2Ax
:
Now, the two terms have the following factors in common: 2, 2, 3, x, x, so the quantity that you can factor out of both terms is 12x%5E2.
:
This leaves you with:
:
12x%5E2%28-x%2B3%29, which is really good enough. However, I would also factor out th -1 by changing the signs on the two terms that remain in parentheses, thus:
-12x%5E2%28x-3%29