Concept explainers
To find: The individual partial fractions of the rational function.
Answer to Problem 6CRT
The individual partial fractions of the given rational function is
Explanation of Solution
Given information: The rational function
Calculation:
Factorise the denominator
The factor x is repeated 2 times and hence, two partial fractions one for x and other for
In order to find the unknowns A,B,C,D, we multiply both sides by the denominator
Comparing the coefficients:
A+C=0, B+D=0, 4A=
4, 4B=8
A= -C
B= -D
A= 1, B= 2, C= -1, D= -2
Hence,
The individual partial fractions of the given rational function is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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