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28 May, 03:14

Factor completely

10x^2+2x-8

A.) 2 (5x-1) (x+4)

B.) 2 (5x-4) (x+1)

C.) 2 (5x+2) (x-2)

D.) 2 (5x-2) (x+2)

+4
Answers (2)
  1. 28 May, 05:40
    0
    B.) 2 (5x-4) (x+1)

    Step-by-step explanation:

    10x^2+2x-8

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

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

    = 2[5x (x + 1) - 4 (x + 1) ]

    = 2 (5x-4) (x+1)
  2. 28 May, 05:48
    0
    B.) 2 (5x - 4) (x + 1).

    Step-by-step explanation:

    10x^2+2x-8

    First divide by the common factor 2:

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

    Now we factor the expression in the parentheses using the 'ac' method.

    5 * - 4 = - 20 so to get the + x in the middle we need 5x - 4x:

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

    = 2[ 5x (x + 1) - 4 (x + 1) ]

    = 2 (5x - 4) (x + 1) (answer).
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