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Partial Fraction Problem

  1. Feb 25, 2014 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution




    It's not coming out quite right. Did I maybe factor the denominator incorrectly?
  2. jcsd
  3. Feb 25, 2014 #2


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    You want$$
    \frac{5x^2+20x+6}{x(x+1)^2}=\frac A x + \frac{Bx+C}{(x+1)^2}$$
  4. Feb 25, 2014 #3
    Ohh! But wouldn't you need one for x+1?:

    A/x + (Bx+C)/(x+1)2 + (Dx+E)/(x+1)
  5. Feb 25, 2014 #4


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    No, you only need three independent variables. You could write it as $$\frac A x + \frac{Bx+C}{(x+1)^2}$$ as LCKurtz did, or you could write it as $$\frac A x + \frac{B}{(x+1)^2}+\frac{C}{(x+1)}$$.
  6. Feb 25, 2014 #5
    Oh ok! Thanks for clearing that up :)
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