Lesson: Partial Fractions: Nonrepeated Linear Factors Mathematics • 12th Grade

In this lesson, we will learn how to decompose rational expressions into partial fractions when the denominator has nonrepeated linear factors.

Lesson Plan

Students will be able to

apply partial fractions by substitution when the denominator contains two or three nonrepeated linear factors,
apply partial fractions by equating coefficients when the denominator contains two or three nonrepeated linear factors,
apply partial fractions when the denominator is not already factored (but can be factored into two or three nonrepeated linear factors).

Q1:

The expression can be written in the form . Find the values of and .

Q2:

Find and such that .

Q3:

Express in partial fractions.