Concept explainers
To complete: Each polynomial division, to generalize the pattern, to find a formula for the polynomial division
Answer to Problem 115E
Explanation of Solution
Given information: The following divisions are to be done:
Calculation:
Let us perform the divisions by synthetic division.
Here,
So, the quotient is
Thus,
Here,
So, the quotient is
Thus,
Here,
So, the quotient is
Thus,
Generalizing the pattern of the quotient,
Hence, the general formula for the polynomial division
Thus,
Putting
Hence, the formula is verified.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
- 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