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18 January, 04:06

Look for a GCF first, then trinomial or difference of 2 squares

1. 2x3 - 32x

2. 4x2 + 24x + 20

+2
Answers (2)
  1. 18 January, 04:10
    0
    1. 2x (x - 4) (x + 4)

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

    Step-by-step explanation:

    1. 2x³ - 32x

    2x (x² - 16)

    2x (x² - 4²)

    2x (x - 4) (x + 4)

    2. 4x² + 24x + 20

    4 (x² + 6x + 5)

    4 (x² + 5x + x + 5)

    4[x (x + 5) + 1 (x + 5) ]

    4 (x + 1) (x + 5)
  2. 18 January, 04:34
    0
    2x (x-4) (x+4)

    4 (x+3) (x+2)

    Step-by-step explanation:

    1. 2x^3 - 32x

    Factor out 2x

    2x (x^2 - 16)

    2x (x^2 - 4^2)

    This is the difference of squares (a^2 - b^2) = (a-b) (a+b)

    2x (x-4) (x+4)

    2. 4x^2 + 24x + 20

    Factor out 4

    4 (x^2 + 6x + 5)

    What 2 numbers multiply to 5 and add to 6

    3*2 = 6

    3+2 = 5

    4 (x+3) (x+2)
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