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Math Help - Long Division

  1. #1
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    Long Division

    Divide x^4 - x^3 -7x + 84 by x^2 - 3

    I keep getting the following answer:

    (x^2 - x) + (-10x + 84)/(x^2 - 3)

    However, this is not right.

    Can you help me step by step?

    The red part is my remainder.

    Why am I doing wrong?



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  2. #2
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    Code:
                x^2  -  x     +   3
             -----------------------------------
    x^2 - 3  |  x^4  -  x^3  +  0x^2  -  7x  +  84
                x^4          -  3x^2
                ------------------------
                    -  x^3   +  3x^2  -  7x  +  84
                    -  x^3            +  3x
                   -------------------------------
                                3x^2  -  10x   +  84
                                3x^2         -    9
                               --------------------
                                     -  10x   +  93
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  3. #3
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    now...

    Now I see what I did wrong.
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