Question

Identifying roots of a polynomial function select all of the roots of x3 2x2 – 16x– 32.

a. –1
b. –2
c.–4
d. 1
e. 4
f. 5

Answer 1

The roots of the polynomial function x^3 + 2x^2 - 16x - 32 are -4, -2, and 4.

Step-by-step explanation:

The polynomial function x^3 + 2x^2 - 16x - 32 can be factored to (x+4)(x+2)(x-4).

In this case, the roots of the polynomial are the values of x that make the function equal to zero.

Therefore, the roots are -4, -2, and 4. Hence, options c, b, and e are the correct roots of the function.