Partial Fraction Decomposition

  • Thread starter protivakid
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  • #1
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Homework Statement



[tex]\frac{4x^{4}-8x^{3}+5x^{2}-2x-1}{2x^{2}-3x-2}[/tex]

Homework Equations





The Attempt at a Solution



I started of by breaking the bottom part down into (2x+1)(x-2) which then allowed me to set...
[tex]\frac{A}{(2x+1)}[/tex]+[tex]\frac{B}{(x-2)}[/tex]

The problem is from here I tried synthetic division however it gave me an answer that did not make any sense. Am I setting this up right or have I messed up already? Thanks guys.
 

Answers and Replies

  • #2
Defennder
Homework Helper
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I don't know if you forgot to include the step of dividing the polynomial fraction such that the degree of the numerator polynomial is less than that of the denominator's.
 
  • #3
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Thanks for the reply, I didn't forget to put it in, I forgot to do it lol. I'm still learning how to do all these problems so even obvious hints make a world of difference to me. I managed to completely solve it from there so thank you.
 

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