Lesson: Finding the Partial Fraction of Denominator with Repeated Linear Fractions

In this lesson, we will learn how to determine whether the denominator of a rational expression has a linear factor that is repeated n times.

Worksheet: Finding the Partial Fraction of Denominator with Repeated Linear Fractions • 5 Questions

Q1:

Express in partial fractions.

Q2:

Find and such that .

Q3:

Determine the partial fraction decomposition of .

Q4:

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 ?

Q5:

Express in partial fractions.

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