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30 June, 12:38

Factor completely 3x^2 - 11x + 8.

A. (x + 4) (3x - 2)

B. (x - 2) (3x - 4)

C. (x + 1) (3x - 8)

D. (x - 1) (3x - 8)

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Answers (2)
  1. 30 June, 12:57
    0
    Answer:D
  2. 30 June, 13:06
    0
    D

    Step-by-step explanation:

    Given

    3x² - 11x + 8

    Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term.

    product = 3 * 8 = 24 and sum = - 11

    The factors are - 3 and - 8

    Use these factors to split the x - term

    3x² - 3x - 8x + 8 (factor the first/second and third/fourth terms)

    = 3x (x - 1) - 8 (x - 1) ← factor out (x - 1) from each term

    = (x - 1) (3x - 8) ← in factored form
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