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24 January, 18:45

The functions f (x) = √x^2+12x+36 and g (x) = x^3-12 are defined below. Which expression is equal to f (x) · g (x) ? A. x^4-6x^3-12x+72 B. x^4-12x^3+6x-72 C. x^4+6x^3-12x-72 D. 7x^3-12x-72

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  1. 24 January, 18:56
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    C: x^4+6x^3-12x-72

    Step-by-step explanation:

    For the function : f (x) = √x^2+12x+36

    It can be factorized to

    f (x) = √ (x+6) ²

    =x+6

    f (x) * g (x)

    = (x+6) (x^3-12)

    Expand the brackets

    =x^4-12x+6x^3-72

    rearrange the numbers

    x^4+6x^3-12x-72
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