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Math Help - Function Decomposition

  1. #1
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    Function Decomposition

    How is this decomposed?

    \frac{x^4+1}{x^3(x^2+4)}

    The answer doesn't need to be solved for A,B,C,etc
    Last edited by Mike9182; September 2nd 2010 at 05:51 AM. Reason: latex error
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  2. #2
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    Hello, Mike9182!

    How is this decomposed? . \dfrac{x^4+1}{x^3(x^2+4)}

    . . \displaystyle \frac{x^4+1}{x^3(x^2+4)} \;=\;\frac{A}{x} + \frac{B}{x^2} + \frac{C}{x^3} + \frac{Dx+E}{x^2+4}


    You should get: . A = \text{-}\frac{1}{16},\; B \:=\:0,\; C \:=\:\frac{1}{4},\; D \:=\:\frac{17}{16},\; E \:=\:0
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