Suppose that a proper rational expression has a single repeated linear factor (ax + b)3 in the denominator. Explain how to set up the partial fraction decomposition.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
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Suppose that a proper rational expression has a single repeated linear factor (ax + b)3 in the denominator. Explain how to set up the partial fraction decomposition.

Expert Solution
Step 1

If the factor in the denominator is 

(ax + b)" then the term in the partial fraction decomposition is
Аз
Ak
A2
ax + b
(ax + b)'
(ax + b)*
(ax+b)°
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