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11 April, 14:32

Given h (x) = x+2 and f (x) = x^3+4x^2-5. Is h (x) a factor of f (x)

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  1. 11 April, 17:24
    0
    No.

    Step-by-step explanation:

    h (x) = x+2

    f (x) = x³+4x²-5

    h (x) = 0 = > x+2 = 0 = > x = - 2

    h (x) is a factor of f (x) if f (-2) = 0

    f (-2) = (-2) ³+4· (-2) ²-5 = - 8+4·4-5 = - 8+16-5 = - 13+16 = 3 ≠ 0
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