Concept explainers
(a)
To state: The degree of
(a)
Answer to Problem 12CFU
Explanation of Solution
Given information: Let
Calculation:
The highest power of x in the polynomial is
Thus, degree of
(b)
To state: The number of complex zeros that
(b)
Answer to Problem 12CFU
Explanation of Solution
Given information: Let
Calculation:
The number of complex roots (zeros) of a polynomial is equal to the degree of the polynomial.
Thus,
(c)
To state: The degree of the depressed polynomial that would result from dividing
(c)
Answer to Problem 12CFU
Explanation of Solution
Given information: Let
Calculation:
The degree of the depressed polynomial is one less than the degree of the polynomial.
Thus,
(d)
To find: One factor of
(d)
Answer to Problem 12CFU
Explanation of Solution
Given information: Let
Calculation:
A quick look at the polynomial tells us that there is no constant term.
This means
This means (by the Factor Theorem)
That,
There, we found one,
Some more could be found by:
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
Thomas' Calculus: Early Transcendentals (14th 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