Concept explainers
Find the partial fraction for the given rational expression.
Answer to Problem 64RE
The partial fraction form is:
Explanation of Solution
Given:
The rational expression
Consider the rational expression
Since the degree of denominator is greater than numerator, the expression is in proper form.
Take one partial fraction with constant numerator for linear factor and for each power of (x−1) in denominator.
Simplify as follows
Thus,
Substitute
Substitute
Substitute
Add equations (2) and (3)
Substitute
Hence, the partial fraction is given by
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning