Concept explainers
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
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus and Its Applications (11th Edition)
Precalculus
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
- 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