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27 March, 06:27

According to the Rational Root Theorem, which is a factor of the polynomial f (x) = 3x3 - 5x2 - 12x + 20?

A.) 2x + 1

B.) 2x - 1

C.) 3x + 5

D.) 3x - 5

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Answers (2)
  1. 27 March, 08:49
    0
    D.) 3x - 5

    Step-by-step explanation:

    I got 100% on the test
  2. 27 March, 08:51
    0
    3x^3 - 5x^2 - 12x + 20

    = (3x^3 - 5x^2) - (12x - 20)

    = x^2 (3x - 5) - 4 (3x - 5)

    = (3x - 5) (x^2 - 4)

    = (3x - 5) (x + 2) (x - 2)

    Factors: (3x - 5), (x + 2), and (x - 2)

    Answer:

    D.) 3x - 5
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