Write the polynomials in factored form.
x^3−3x^2−10x
To factor the polynomial x^3 - 3x^2 - 10x, we can first look for common factors. In this case, we can factor out an x:
x(x^2 - 3x - 10)
Next, we need to factor the quadratic expression x^2 - 3x - 10. We can do this by finding two numbers whose product is -10 and whose sum is -3. These numbers are -5 and 2:
x(x - 5)(x + 2)
Therefore, the polynomial x^3 - 3x^2 - 10x in factored form is x(x - 5)(x + 2).