Lesson: Partial Fractions: Repeated Linear Factors Mathematics
In this lesson, we will learn how to decompose rational expressions into partial fractions when the denominator has repeated linear factors.
Consider the rational expression . The following strategy reveals it as a sum of partial fractions.
What is the value of when ? Let us call this .
So, . What is ? Give the factored and simplified form.
Repeat the first step with and to find and so that . What, finally, is the partial fraction decomposition of ?
Express in partial fractions.
Determine the partial fraction decomposition of .