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.

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17:29

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Q1:

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 ?

Q2:

Express in partial fractions.

Q3:

Determine the partial fraction decomposition of .

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