Question

One zero of the polynomial function f(x) = x3 + x2 + 20x is x = 0. What are the zeros of the polynomial function?

0, −5, −4
0, −5, 4
0, 5, −4
0, 5, 4

Answer 1

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

Step-by-step explanation:

The zeros of a polynomial function are the values of x that make the function equal to zero.

We are given that one zero of the polynomial function f(x) = x^3 + x^2 + 20x is x = 0.

To find the other zeros, we can use polynomial long division or synthetic division to factor out x = 0 and find the remaining quadratic equation.

Factoring the quadratic equation, we find that the zeros are x = -5 and x = -4.

Therefore, the correct answer is 0, -5, -4.