, and is not factorable, so you set
When there's a squared factor in the denominator, you get fractions with squared and unsquared denominator. When there's a non-factorable quadratic in the denominator, you get a linear term in the corresponding numerator.
Edit: Oops - I didn't realize Mr. Fantastic had already posted. So you get two of the same answer.
I also learned partial fractions when I learned how to integrate rational functions (about 2/3 of the way through the first year of calculus).
But it can be understood with pre-calculus knowledge, so I don't think the thread has to be moved necessarily.