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13 October, 17:47

Which of the following is a factor of 3x^3-12x?

3x-4

x+2

x+3

x-4

+3
Answers (2)
  1. 13 October, 20:28
    0
    x + 2

    Step-by-step explanation:

    given

    3x³ - 12x ← factor out 3x from each term

    = 3x (x² - 4) ← x² - 4 is a difference of squares, hence

    = 3x (x - 2) (x + 2) ← fully factorised

    hence x + 2 is a factor of the polynomial
  2. 13 October, 21:17
    0
    x + 2

    Step-by-step explanation:

    3x^3 - 12x

    =3x (x^2 - 4)

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

    so (x+2), (x - 2) and 3x are the factors of 3x^3 - 12x

    answer:

    x + 2
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