Concept explainers
To calculate:Write the partial fraction decomposition of the improper rational expression.
Answer to Problem 45E
The partial fraction decomposition is
Explanation of Solution
Given information:
The given equation is
Calculation:
First let us perform polynomial long division as degree of numerator is not less than the denominator.
Now deal with the half part of the above equation.
The form of the partial fraction decomposition is
The coefficients are equated and,
Solving these equations we get
The partial fraction decomposition is
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