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7 September, 14:09

Which of the binomials below is a factor of this trinomial? x2 + 6x + 8

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  1. 7 September, 17:12
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    (x+4) (x+2)

    Step-by-step explanation:

    Distributive property of 2 binomials:

    First, outer, inner, last

    (a+b) (c+d) = ac+ad+bc + bd

    Factor x^2 into x*x

    Factor 8 into 2*2*2

    Find what two numbers add up to 6 and multiply to get 8

    1 and 8 do not work because they add up to 9. 2 and 4 work because they add up to 6.

    Check: (x+4) (x+2)

    First: x*x = x^2

    Outer: 2*x

    Inner: 4*x

    Last: 2*4 = 8

    Add together: x^2+2x+4x+8 = x^2+6x+8
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