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10 February, 07:26

Which of the following values are zeros for the function below? Select all that apply. g (x) = (x^2+4x-12) (x-3)

A.-6

B.-3

C.-2

D. 0

E. 2

F. 3

G. 6

+4
Answers (1)
  1. 10 February, 07:51
    0
    G (x) = x³ + x² - 24x + 36

    g (x) = x³ + 4x² - 3x² - 12x - 12x + 36

    g (x) = x³ + 4x² - 12x - 3x² - 12x + 36

    g (x) = x (x²) + x (4x) - x (12) - 3 (x²) - 3 (4x) + 3 (12)

    g (x) = x (x² + 4x - 12) - 3 (x² + 4x - 12)

    g (x) = (x - 3) (x² + 4x - 12)

    g (x) = (x - 3) (x² + 6x - 2x - 12)

    g (x) = (x - 3) (x (x) + x (6) - 2 (x) - 2 (6))

    g (x) = (x - 3) (x (x + 6) - 2 (x + 6))

    g (x) = (x - 3) (x - 2) (x + 6)

    0 = (x - 3) (x - 2) (x + 6)

    0 = x - 3 or 0 = x - 2 or 0 = x + 6

    + 3 + 3 + 2 + 2 - 6 - 6

    3 = x or 2 = x or 6 = x

    The answers are E, F, and G.
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