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5 December, 01:38

Find the zeros of the polynomial function.

f (x) = x3 + 5x2 - 4x - 20

x = - 5, x = - 2, x = 2

x = - 2, x = 2

x = - 5, x = 4

x = 5, x = - 2, x = 2

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Answers (1)
  1. 5 December, 03:04
    0
    f (x) = x^3 + 5x^2 - 4x - 20

    The zeros of the polynomial function: x^3 + 5x^2 - 4x - 20 = 0

    x^3 + 5x^2 - 4x - 20 = 0

    x^2 (x + 5) - 4 (x + 5) = 0

    (x^2 - 4) (x + 5) = 0

    (x + 2) (x - 2) (x + 5) = 0

    (x + 2) = 0; x = - 2

    (x - 2) = 0; x = 2

    (x + 5) = 0; x = - 5

    Answer is the first one

    x = - 5, x = - 2, x = 2
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