Concept explainers
To state:State whether the denominator of each partial fraction always have a lower degree than the denominator of the original expression.
Answer to Problem 63E
It is true statement.
Explanation of Solution
Given information:Given that the denominator of each partial fraction always have a lower degree than the denominator of the original expression.
As we know that partial fraction decomposition of an original rational expression decomposes into sum or difference of ration expression.
Therefore, the degree the denominator of each partial fraction always have a lower degree than the denominator of the original expression.
To support our answer let us consider a partial fraction decomposition given below.
We see that the degree of original rational expression is 2 whereas the degree of each decomposes rational expressions 1.
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