I don't understand the question.
The problem can be solved without Partial Fractions.
All I need to do is write the form of the partial function.
I don't have to find the numerical values.
. . .
First of all, the fraction is "improper" . . . Use long division.
Second, are we suppose to factor that quadratic?
. . . .
. . Then work on: . .(ugh!)
Or should we solve: .
Would it surprise you to learn that and