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20 May, 03:08

Which of the following represents the zeros of f (x) = x3 - 4x2 - 5x + 20?

-4, - square root of 5, - square root of 5

4, square root of 5, - square root of 5

4, - square root of 5, - square root of 5

-4, square root of 5, square root of 5

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Answers (1)
  1. 20 May, 03:23
    0
    The zeroes of f (x) are 4, √5, - √5

    Step-by-step explanation:

    (x - 4) is a factor of f (x) because : (x = 4)

    (4) ³ - 4 (4) ² - 5 (4) + 20 = 0

    (x - √5) is a factor of f (x) because : (x = √5)

    (√5) ³ - 4 (√5) ² - 5 (√5) + 20 = 0

    (x + √5) is a factor of f (x) because : (x = - √5)

    (-√5) ³ - 4 (-√5) ² - 5 (-√5) + 20 = 0

    ∴ The zeroes of f (x) are 4, √5, - √5
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