I am trying to get the polynomial;

Question

x^7+2x^6+3x^5+4x^4+6x^3+6x^2+7x+8
divided by;
x^5-2x^4-3x^3+5x^2+2x-3

into a partial fraction form so that I can create a system of equations to solve for. So far, after dividing I have
(x+1)(x-1)^2, and (x^2-x-3) as factors along with an remainder ype thing of x^2+4x+14. This gives me
A/(x+1)+ B/(x-1)+ C/(x-1)^2+ Dx+E/(x^2-x-3)
I don't know if this is right, and need help from here.
Thanks

Answer 1

I don't agree with your x^2-x-3 as a factor.

check your division here:

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