help me facor this step by step
x to the third+2x squared-3x
Thank you
$\displaystyle x^3 +2x^2 -3x$
Rule number one, look for something that every term has.
In this case, it's x.
So factor it out: $\displaystyle x(x^2 + 2x - 3)$
Now let's focus on: $\displaystyle x^2 + 2x - 3$
We know it's gonna be: $\displaystyle (x + something)(x - something)$
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: $\displaystyle (x + 3)(x - 1)$
And the final factored form is: $\displaystyle \boxed{x(x + 3)(x - 1)}$