Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By Prove It

Math Help - Partial Fraction Decomposition

  1. #1
    Junior Member
    Joined
    Feb 2013
    From
    San Diego
    Posts
    37
    Thanks
    3

    Partial Fraction Decomposition

    I just got 2 quick questions about Partial Fraction Decomposition :

    1) 2x-4/x(x-1)^2 = A/x + B/x-1 + C/(x-1)^2 , I was wondering how my professor got B/x-1 ?

    2) x+6/(x+2)(x^2+4) = A/x+2 + Bx+C/x^2+4 , I was wondering how my professor got Bx+C/x^2+4 ? How come the B and C are together? I thought it was supposed to be A/something + B/something + C/something?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,549
    Thanks
    1418

    Re: Partial Fraction Decomposition

    1) It's a standard technique when you have repeated factors, because it's possible for a quadratic denominator to have up to a linear numerator rather than constant.

    2) Again, quadratic denominators can have up to linear numerators. So you need to take into account that you need a linear function in the numerator.

    Generally, to have algebraic proper fractions, the numerator can be any degree up to one less than the denominator's degree.
    Thanks from boltage619
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Partial Fraction Decomposition
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 14th 2013, 09:33 PM
  2. Partial fraction decomposition.
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: May 19th 2010, 08:50 PM
  3. Partial fraction decomposition:
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 23rd 2010, 03:36 PM
  4. Partial Fraction decomposition
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 27th 2009, 06:03 PM
  5. Partial Fraction Decomposition
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 26th 2009, 07:53 AM

Search Tags


/mathhelpforum @mathhelpforum