Would very much appreciate verification of solution to partial fraction decomposition question.
Find the partial fraction decomposition of x^4/(x-1)^3
Since degree of numerator is greater than denominator ... long division gives
3x^3-3x^2+x. Since degrees are same, another long division gives:
6x^2 -8x +3.
With A/(x-1) + B/(x-1)^2 + C/(x-1)^3
My solution is: A=6, B=4 and C=1
But my "check" does not compute.
Appreciate any help or redirection.