For the following problem provide the "form" of the partial fraction decomposition for the given fractional expression. You do not have to solve the undetermined coefficients.
4. 2x^2 - 3x + 8 / x^3 + 9x
I took an x out and it's no x(x^2+9) My answer is A/X + BX+C/x^2+9
5. x- 7 / x^4 - 16
I did (x^2+4)(x^2-4). I factor (x^2 - 4) into (x-2)(x+2). My answer is AX+B/x^2+4 + C/(x+2) + D/(x-2)
6. x^2 - 4x + 6 / (x+3)^2 (x^2+1)^2.
My answer is A/(x+3) + B/(x+3) + CX+D/(x^2+1) + EX+F/(x^2+10^2)
Here's a scan of the problems.