
Concept explainers
Partial fraction decomposition of the given rational expression.

Answer to Problem 16.7EAA
The required partial fraction decomposition of the given rational expression is
Therefore, option (b) is the correct answer.
Explanation of Solution
Given information:
A rational expression:
Calculation:
First of all, we factor the quadratic in the denominator:
The given rational expression becomes:
Now we set up the partial fraction composition as shown below:
Upon multiplying by
Now we need to find the values of A, B, C and D by substituting some values of x.
We have the values of B and D. In order to get the values of A and C, we solve the system of linear equations:
Upon substituting
Conclusion:
The required partial fraction decomposition of the given rational expression is
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Chapter 16 Solutions
Engineering Your Future
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