Lesson Plan: Partial Fractions: Repeated Linear Factors Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to decompose rational expressions into partial fractions when the denominator has repeated linear factors.
Objectives
Students will be able to
- apply partial fractions when the denominator contains two or three linear factors, two of which are repeated,
- apply partial fractions when the denominator is not already factored into linear factors (with a pair of repeated factors).
Prerequisites
Students should already be familiar with
- adding or subtracting rational functions,
- factoring polynomial expressions,
- partial fractions when the denominator contains nonrepeated linear factors.
Exclusions
Students will not cover
- partial fractions when the denominator contains three repeated linear factors,
- partial fractions when the denominator contains irreducible polynomials,
- partial fractions when the denominator contains more than three linear factors,
- simplifying improper rational expressions.
