1. What is the goal of the method of partial fractions?

2. When the degree of a polynomial ƒ(x) is less than the degree of a

polynomial g(x), how do you write ƒ(x)>g(x) as a sum of partial

fractions if g(x)

a. is a product of distinct linear factors?

b. consists of a repeated linear factor?

c. contains an irreducible quadratic factor?

What do you do if the degree of ƒ is not less than the degree of g?