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Math Help - Doubting my results in synthetic division

  1. #1
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    Doubting my results in synthetic division

    1. a) Use synthetic division to find the quotient and the remain when

    f(x) = x^4 - 4x^3 - 6x^2 + 7x +24 is divided by g(x) = x + 1/2

    My answer: x^3 - 9/2x^2 + 15/4x + 41/8 remainder 343/16

    I always doubt myself when I get answers as odd as these. Is this correct?
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  2. #2
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    It looked good for a while but you wandered off there toward the end. Give it another go.

    Try evaluating f(-1/2) to check.

    Note: It may simplify your life substantially to calculate \frac{2\cdot f(x)}{2\cdot g(x)} rather than what you have proposed.
    Last edited by TKHunny; December 7th 2009 at 03:25 PM.
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  3. #3
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    Okay so I multiplied it all by 2 and used synthetic division and got:

    2x^3 -9x^2 -3x +17 remainder 31. Next I must divide by 2, correct? In this case we get x^3 -9/2x^2 -3/2x +17/2 remainder 31/2?
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