How do I find the partial-fraction decomposition of #(-3x^3 + 8x^2 - 4x + 5)/(-x^4 + 3x^3 - 3x^2 + 3x - 2)#?
Break the polynomial into two groups where each group is factorable on its own.
Factor each group.
Factor out the corresponding factor of
Combine the individual factors into a single factored expression.
In this problem
Multiply the numerator by -1.