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26 May, 05:00

Factor completely: 2a2 + a - 28

A. (2a - 7) (a + 4)

B. (2a+7) (a-4)

C. (2a-4) (a+7)

D. Prime

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Answers (2)
  1. 26 May, 06:42
    0
    A. (2a - 7) (a + 4).

    Step-by-step explanation:

    2a2 + a - 28

    = 2a^2 + 8a - 7a - 28

    = 2a (a + 4) - 7 (a + 4)

    The a + 4 is common so we have:

    (2a - 7) (a + 4).
  2. 26 May, 08:37
    0
    A

    Step-by-step explanation:

    2a^2 + a - 28

    Recall: ax^2 + bx + c

    a*c = 2*28 = 56

    sum of factors = + 8-7 = 1

    multiply of factor = 8*7=56

    2a^2 + 8a - 7a-28

    (2a^2 + 8a) - (7a - 28)

    2a (a + 4) - 7 (a + 4)

    Therefore

    (2a-7) (a+4)
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