SOLUTION: I have to factor this equation and I am having troubles doing so, can you show me how this is done step by step, -12x^3+36^2 thanks I would greatly appreciate it

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have to factor this equation and I am having troubles doing so, can you show me how this is done step by step, -12x^3+36^2 thanks I would greatly appreciate it      Log On


   

Question 84814This question is from textbook algebra
: I have to factor this equation and I am having troubles doing so, can you show me how this is done step by step,
-12x^3+36^2
thanks I would greatly appreciate it This question is from textbook algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the expression (it's not an equation, no equals sign):
-12x%5E3%2B36x%5E2 First, look for common factors in each term.
%28-12x%5E2%29%28x%29+%2B+%2812x%5E2%29%283%29 So you can factor out a -12x^2.
-12x%5E2%28x-3%29 Notice the change in the sign of the second term.
Now the first factor -12x%5E2 itself can be factored:
-12x%5E2+=+-3%284x%5E2%29 Notice that the 4x%5E2 can also be factored:
4x%5E2+=+%282x%29%282x%29. So...putting it all together, we have:
-12x%5E3%2B36x%5E2+=+-3%282x%29%282x%29%28x-3%29