What are the zeros of the polynomial function?

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

select each correct answer:

-3

-2

-1

0

1

2

3

-2, - 1 and 1.

Step-by-step explanation:

x^3 + 2x^2 - x - 2 = 0

x^2 (x + 2) - 1 (x + 2) = 0 Note the common factors (x + 2) so we have

(x^2 - 1) (x + 2) = 0

(x - 1) (x + 1) (x + 2) = 0 (x^2 - 1 is the difference of 2 squares).

x = - 2, - 1 and 1.