Concept explainers
To find: write the partial fraction of the given rational expression
Answer to Problem 57E
The final answer is
Explanation of Solution
Given information: we have the given rational fraction is
Since the degree of numerator is greater than denominator therefore using long division method we get
Now we find partial fraction on remainder.
Further we can write
Expanding the L.H.S and group element’s according to powers of x we get
Now, equating the coefficients of similar term on both sides to make a list of equations
Solving the above system we get
Therefore, we get
Finally, the required partial fraction 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