Question

Factor completely:
x^3 - x^2 - 6x

Answer 1

`x(x-3)(x+2)`

Explanation:

1. Find the GCF (Greatest Common Factor)

`GCF=x`

2. Factor out the GCF and simplify.

`x(x^(2) -x-6)`

3. Factor
`x^(2) -x-6.`

Which two numbers add up to -1 and multiply to -6?

-3 and 2

Rewrite the expression using the numbers above.

`(x-3)(x+2)`

4. Done!

`x(x-3)(x+2)`