Partial Fractions

  • Thread starter Jbreezy
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  • #1
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Homework Statement



Write out the form of the partial fraction decomposition of not determine the numerical values of the coefficients.

Homework Equations



x^4 -2x^3 + x^2 +2x -1 / x^2 -2x +1


The Attempt at a Solution



I did the division and I got x^2 + ((2x-1)) / (x^2 -2x +1)

So I took
((2x-1)) / (x^2 -2x +1) = Ax + B / x^2 -2x +1

Is this right? It has been forever since I did these.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Homework Statement



Write out the form of the partial fraction decomposition of not determine the numerical values of the coefficients.

Homework Equations



x^4 -2x^3 + x^2 +2x -1 / x^2 -2x +1


The Attempt at a Solution



I did the division and I got x^2 + ((2x-1)) / (x^2 -2x +1)

So I took
((2x-1)) / (x^2 -2x +1) = Ax + B / x^2 -2x +1

Is this right? It has been forever since I did these.
It's right, but it's not a complete partial fraction expansion. x^2-2x+1 factors into (x-1)(x-1). Review partial fractions.
 

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