How do you factor 15x^3-9x^2-6x?

1 Answer
May 27, 2016

3x(x-1)(5x+2)

Explanation:

1) Find the GCF of 15x^3 - 9x^2 - 6x, which is 3x.
2) Factor out the GCF: 3x(5x^2 - 3x - 2)
3) Factor the trinomial in the parenthesis.
5x^2 - 3x - 2
5x^2 + 2x - 5x - 2
x(5x + 2) & -1(5x + 2)
(x - 1)(5x + 2)
4) Insert in the GCF in front: 3x(x -1)(5x + 2)