To fill : the blank space with appropriate term
Answer to Problem 6E
The
Explanation of Solution
Given information : The
Concept Involved:
For long division of polynomials by divisors of the form x - k , there is a shortcut
called synthetic division. The pattern for synthetic division of a cubic polynomial is
summarized below. (The pattern for higher-degree polynomials is similar.)
Synthetic Division (for a Cubic Polynomial): To divide
In case when we have a polynomial with a missing term, insert placeholders with zero coefficients for missing powers of the variable. Vertical pattern: Add terms in columns Diagonal pattern: Multiply results by k. This algorithm for synthetic division works only for divisors of the form x - k. Remember that |
The Division Algorithm : If
Another way to write the Division Algorithm is
In the Division Algorithm, the rational expression
The Remainder Theorem: If a polynomial
Chapter 2 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