Improper Algebraic Fractions

This is where the degree of the denominator is less than or equal to the degree of the numerator.

Example 4

Express as partial fractions

Step One

First multiply out the denominator to give

Step Two

Then divide the numerator by the denominator

So the fraction can be written as   (rather like a mixed number)

Step Three

We can now express the fractional part as partial fractions

Subs x = -3

6-5=-1B

B=-1

Subs x = -2

4 - 5 = A

A = -1

So answer is