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8 April, 13:13

X² + 4x + 2x+8

how do i factor this

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  1. 8 April, 13:28
    0
    (x+2) (x+4)

    Step-by-step explanation:

    First, start by combing like terms so that you end up with x^2 + 6x + 8

    Now, we have to come up with two factors of this equation

    (x + a) (x + b) = x^2 + 6x + 8

    we know that ab = 8 and that a+b = 6. In other words, what factors of 8 have a sum of 8? We can find out that 2 and 4 fit these criteria.

    a = 2

    b = 4

    2 (4) = 8? 2 + 4 = 6?

    8 = 8 6 = 6
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