Factor the polynomial x^3-x^2-6x
To factor the given polynomial x^3 - x^2 - 6x, we can first take out the greatest common factor, which is x.
x(x^2 - x - 6)
Then, we can factor the quadratic expression inside the parentheses.
The quadratic expression factors as (x - 3)(x + 2), so the factored form of the polynomial is:
x(x - 3)(x + 2)