What are the zeros of the polynomial function f (x) = x3 - x2 - 20x?

Let's solve for f. fx = x3 - x2 - 20x Step 1: Divide both sides by x. fx x = x3 - x2 - 20x x f = x2 - x - 20 Answer: f = x2 - x - 20

We shouls find the zeros of the following polynomial function:

f (x) = x^3-x^2-20x

We can rewrite it in order to obtain function easier to solve:

f (x) = x (x^2-x-20)

x^2-x-20 = (x-4) (x+5)

f (x) = x (x-4) (x+5)

So the zeros of the polynomial function f (x) = x^3-x^2-20x are - 5,0,4.