Lesson: Partial Fractions: Repeated Linear FactorsMathematics
In this lesson, we will learn how to decompose rational expressions into partial fractions when the denominator has repeated linear factors.
Sample Question Videos
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 .