To state: True/false a polynomial function of 4 degree with real coefficients can have as its zeros.
Answer to Problem 6AYU
.
Explanation of Solution
Given:
Polynomial function of 4 degree with real coefficients.
If the polynomial function has 4 degree there will 4 zeros of the polynomial.
In complex zeros occurring will be in conjugate pairs in the polynomial function with real coefficients.
There is one real zero .
and are complex conjugate pairs which are complex zeros.
is also a complex zero, but complex zeros occurring will be in conjugate pairs in the polynomial function with real coefficients.
Already there are 4 zeros and a polynomial function cannot have more than 4 zeros.
A polynomial function of 4 degree with real coefficients having as its zeros cannot exist.
Chapter 4 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (2nd Edition)
Glencoe Math Accelerated, Student Edition
Precalculus (10th Edition)
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd 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