Math 1312
Worksheet # 2
The Method of Partial Fractions

Use the Method of Partial Fractions to simplify the following rational functions:

1.

$$\frac{14-x}{x^2+2x-8}$$

2.

$$\frac{3x^3-17x^2+36x-35}{(x-2)^2}$$

3.

$$\frac{(3+\sqrt{2})x+(2\sqrt{2}-9)}{x^2-x-6}$$

4.

$$\frac{x^2+x-4}{x^3+x}$$

5.

$$\frac{x^2+x-4}{x^3-x}$$

6.

$$\frac{5x^3-6x^2+7x-8}{(x^2+3)(x^2+1)}$$

7.

$$\frac{2x^3+x^2+4x}{x^4+2x^2+1}$$