How write out the form of this problem in partial fraction decomposition?

479 Views Asked by At

Can someone correct this for me? I thought I got it right, but no. First I factored the bottom to get (x-1)^2 and then I put it into A and B form.

image

1

There are 1 best solutions below

2
On BEST ANSWER

Hint: Try doing long division on $$\frac{x^4-2x^3+x^2+9x-5}{x^2-2x+1}$$ Then you should get $$\frac{x^4-2x^3+x^2+9x-5}{x^2-2x+1}=x^2+\frac{\dots}{\dots}$$ Then you can decompose the unknown fraction into partial fractions.