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Math Help - Partial Fractions

  1. #1
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    Unhappy Partial Fractions

    Hi im stuck in dividing the numerator by denominator:
    x^2 / (x^2 + x - 6)
    could you pls explain how this is done?
    the answer from quickmath is
    -9/(5(x+3)) + 1 + 4/5(x - 2)
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  2. #2
    TD!
    TD! is offline
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    Trick to avoid the polynomial long division:

    x/(x+x-6)
    = (x+x-6-x+6)/(x+x-6)
    = (x+x-6)/(x+x-6) - (x-6)/(x+x-6)
    = 1 - (x-6)/(x+x-6)

    Now partial fractions on the fraction that's left.
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