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19 May, 06:34

Use the remainder theorem to determine the remainder when d4 + 2d2 + 5d - 10 is divided by d + 4.

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  1. 19 May, 07:39
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    The remainder theorem states that the answer when d + 4 is substituted into the whole equation, the remainder would be the answer divided by d + 4. Therefore:

    d + 4 = 0

    d = - 4

    Evaluating when d = - 4:

    d^4 + 2 * d^2 + 5 * d - 10

    = ( - 4) ^4 + 2 * ( - 4) ^2 + 5 * ( - 4) - 10

    = 256 + 2 * 16 - 20 - 10

    = 256 + 32 - 30

    = 258

    Therefore basing on the remainder theorem, the remainder would then be:

    Remainder = 258 / (d + 4) - - - > Answer
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