1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Partial Fraction Decomposition

  1. Feb 11, 2014 #1
    1. The problem statement, all variables and given/known data

    (t4+9)/(t4+9t2)

    2. Relevant equations



    3. The attempt at a solution
    I'm not completely sure if I'm using the correct method to solve this. Since the degrees of the numerator and denominator are the same, wouldn't you divide the denominator into the numerator? Here is the answer I got:

    1+9/(t4+9t2)
     
  2. jcsd
  3. Feb 11, 2014 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    ##t^4+9t^2 = t^2(t^2+9)##.
     
  4. Feb 11, 2014 #3
    Thanks! I was worried that I had done it incorrectly, I'm pretty rusty with division with polynomials.
     
  5. Feb 11, 2014 #4

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    You did do it incorrectly.
    $$1+\frac{9}{t^4+9t^2} = \frac{(t^4+9t^2)+9}{t^4+9t^2} \ne \frac{t^4+9}{t^4+9t^2}$$ You can avoid doing long division by noting that ##t^4+9 = t^4+9t^2-9t^2+9##.
     
  6. Feb 11, 2014 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Misread post
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Partial Fraction Decomposition
Loading...