# Math Help - factor

1. ## factor

help me facor this step by step

x to the third+2x squared-3x

Thank you

2. $x^3 +2x^2 -3x$

Rule number one, look for something that every term has.
In this case, it's x.

So factor it out: $x(x^2 + 2x - 3)$

Now let's focus on: $x^2 + 2x - 3$

We know it's gonna be: $(x + something)(x - something)$

So, what are two numbers that multiply to give -3 and add up to 2?

Those are 3 and -1

So it'll factor as: $(x + 3)(x - 1)$

And the final factored form is: $\boxed{x(x + 3)(x - 1)}$