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18 April, 09:10

If c (x) = 4x-2 and d (x) = x^2 + 5x is is (c•d) (x)

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  1. 18 April, 09:27
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    Answer: (c * d) (x) = 4x^3 + 18x^2 - 10x

    Work Shown:

    I'm assuming the dot means multiplication. If so, then,

    (c * d) (x) = c (x) * d (x)

    (c * d) (x) = [ c (x) ] * [ d (x) ]

    (c * d) (x) = (4x-2) (x^2+5x) ... substitution

    (c * d) (x) = 4x (x^2+5x) - 2 (x^2+5x) ... distribute

    (c * d) (x) = 4x (x^2) + 4x (5x) - 2 (x^2) - 2 (5x) ... distribute again

    (c * d) (x) = 4x^3 + 20x^2 - 2x^2 - 10x

    (c * d) (x) = 4x^3 + 18x^2 - 10x
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