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Math Help - Partial fractions help

  1. #1
    Newbie
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    Jul 2008
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    Partial fractions help

    Can't figure out how to set this one up. ANy help is greatly appreciated.

    (5x^2-15x-11)/((x+1)*(x-2)^3)
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  2. #2
    Senior Member
    Joined
    Dec 2007
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    Melbourne
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    I assume the difficulty is with the repeated factor in the denominator. In this situation you need a fraction for each power of the factor up to the power in the original denominator. So in this case we get

    \frac{5x^2-15x-11}{(x+1)(x+2)^3} = \frac{A}{x+1}+\frac{B}{x+2}+\frac{C}{(x+2)^2}+\fra  c{D}{(x+2)^3}
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