What are the zeros of the polynomial function? f (x) = x^3-x^2-4x+4

Select each correct answer.

-3

-2

-1

0

1

2

3

Answer: (B) - 2, (E) 1, (F) 2

Step-by-step explanation:

x³ - x² - 4x + 4

= x² (x - 1) - 4 (x - 1)

= (x² - 4) (x - 1)

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

Set each factor equal to zero to find the roots:

x - 2 = 0 x + 2 = 0 x - 1 = 0

x = 2 x = - 2 x = 1