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Math Help - Partial Fraction

  1. #1
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    Partial Fraction

    Resolve f(x)= x^2+2x-2/(1-x)(2-x) into a partial fraction.
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by sderosa518 View Post
    Resolve f(x)= x^2+2x-2/(1-x)(2-x) into a partial fraction.

    First divide using long division to get

    1 + \frac{5x-4}{(1-x)(2-x)}

    Then set up:
    \frac{5x-4}{(1-x)(2-x)} = \frac{A}{1-x} + \frac{B}{2-x}

    according to WolframAlpha the outcome should be:

    \frac{x^2+2x-2}{(1-x)(2-x)} = \frac{6}{(x-2)}+\frac{1}{(1-x)} + 1
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