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25 September, 18:14

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

+3
Answers (1)
  1. 25 September, 18:26
    0
    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
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