Write the polynomial in factored form.
x^3-3x^2-10x
The polynomial x^3 - 3x^2 - 10x can be factored as follows:
x(x^2 - 3x - 10)
Now, we need to factor the quadratic expression x^2 - 3x - 10. This can be done by finding two numbers whose product is -10 and whose sum is -3. These numbers are -5 and 2.
Thus, the factored form of the polynomial x^3 - 3x^2 - 10x is:
x(x - 5)(x + 2)