Results 1 to 2 of 2

Math Help - Partial Fraction Decomposition

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    20

    Partial Fraction Decomposition

    For the following rational functions, find the partial fraction decomposition

    3x
    x^3 - 2x^2 - x + 2

    x^2 - x +1
    x^3 - x^2 + x -1

    Any assistance would be greatly appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by speckmagoo View Post
    For the following rational functions, find the partial fraction decomposition

    3x
    x^3 - 2x^2 - x + 2

    x^2 - x +1
    x^3 - x^2 + x -1

    Any assistance would be greatly appreciated!
    Both denominators can be factored here is the first one

    x^3-2x^2-x+2=x^2(x-2)-1(x-2)=(x-2)(x^2-1)=(x-2)(x-1)(x+1)

    This has three linear factors with no repeates

    \frac{A}{x-2}+\frac{B}{x-1}+\frac{C}{x+1}=\frac{3x}{(x-2)(x-1)(x+1)}

    Show us what you can do from here
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. partial fraction decomposition help
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 28th 2010, 11:38 AM
  2. Partial Fraction Decomposition.
    Posted in the Pre-Calculus Forum
    Replies: 12
    Last Post: July 29th 2010, 01:38 AM
  3. Partial Fraction Decomposition
    Posted in the Pre-Calculus Forum
    Replies: 15
    Last Post: July 12th 2010, 01:52 PM
  4. Partial fraction decomposition
    Posted in the Algebra Forum
    Replies: 9
    Last Post: May 9th 2010, 04:45 PM
  5. Partial Fraction Decomposition
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 8th 2007, 12:50 PM

Search Tags


/mathhelpforum @mathhelpforum