PreCalc H Aim #27 - Partial Fraction Decomposition.notebook

PreCalc H Aim #27 ­ Partial Fraction Decomposition.notebook
Unit 4 - Rational Functions
Aim #27: How do we write a rational function as the sum of
smaller rational functions?
Do Now:
Add the following two rational expressions.
What if we wanted to reverse the process (that is, start with
a rational expression and write it as the sum of two simpler
fractions)?
1
PreCalc H Aim #27 ­ Partial Fraction Decomposition.notebook
Partial Fraction Decomposition:
Case 1: Non-repeated Linear Factors
eg. Write the partial fraction decomposition of:
Case 2: Repeated Linear Factors
Write the partial fraction decomposition of:
2
PreCalc H Aim #27 ­ Partial Fraction Decomposition.notebook
Case 3: Quadratic Factors
Write the partial fraction decomposition of:
3