Question

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

Answer 1

Answer:

$x(x-3)(x+2)$

Step-by-step 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!

$x(x-3)(x+2)$