Concept explainers
In problems 13-46, find the partial fraction decomposition of each rational expression.
To find: The partial fraction decomposition of the given rational function.
Answer to Problem 24AYU
Solution:
Explanation of Solution
Given:
Formula used:
If has repeated linear factor of the form an integer, then, in the partial fraction decomposition of , takes the form:
Where the numbers are to be determined.
Calculation:
The denominator contains the repeated linear factors
The given partial fraction decomposition takes the form
-----Eq (1)
Let in Eq(1)
Let in Eq(1)
Expanding Eq (1)
-----Eq(2)
Equating the co-efficients on both sides in Eq(2),
-----Eq(3)
-----Eq(4)
-----Eq(5)
-----Eq(6)
Solving for we get
From Eq (1), the partial fraction decomposition of
is
Chapter 11 Solutions
Precalculus Enhanced with Graphing Utilities
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