Concept explainers
To prove: Whether the degree of the product of two nonzero polynomials equals the sum of their degrees.
Answer to Problem 139AYU
The degree of the product of two nonzero polynomials equals the sum of their degrees.
Explanation of Solution
Given information:.
Calculation:
Calculate the degree of the product of two nonzero polynomials equals the sum of their degrees.
Where
Consider the two polynomials
First, we will find the multiplication of above two polynomials
Therefore the multiplication
Now we will calculate the degree of
Thus we have
Therefore, it is proved that “the degree of the product of two nonzero polynomials equals the sum of their degrees.”
Chapter A Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th 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