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27 February, 14:36

List the roots of f (x) = 24x3 - 10x2 - 7x + 2:

a. - 1/2, 1/4, 2/3

b. - 1/2, 1/3, 1/2

c. - 2/3, 1/2, 1/4

d. - 2/3, 1/4, 2/3

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Answers (1)
  1. 27 February, 15:03
    0
    F (x) = 24x^3 - 10x^2 - 7x + 2

    0 = 24x^3 - 10x^2 - 7x + 2

    0 = (4x - 1) (3x - 2) (2x + 1)

    0 = 4x - 1 or 0 = 3x - 2 or 0 = 2x + 1

    1 = 4x 2 = 3x - 1 = 2x

    1/4 = x 2/3 = x - 1/2 = x

    The answer is A.
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