Concept explainers
(a)
To write: The polynomial in the standard form.
(a)
Answer to Problem 14E
The polynomial in the standard form is
Explanation of Solution
Given information:
The given polynomial is
Concept used:
A polynomial written with descending powers of
A polynomial with one term is called a monomial, while a polynomial with two terms is called a binomial and a polynomial with three terms is called a trinomial.
The given polynomial is
A polynomial written with descending powers of
The standard form of the polynomial is
Therefore, the polynomial in the standard form is
(b)
To find: The degree and leading coefficient of the polynomial.
(b)
Answer to Problem 14E
The degree of the polynomial is
Explanation of Solution
Given information:
The given polynomial is
Concept used:
A polynomial written with descending powers of
A polynomial with one term is called a monomial, while a polynomial with two terms is called a binomial and a polynomial with three terms is called a trinomial.
The given polynomial is
The degree of the polynomial is
Therefore, the degree of the polynomial is
(c)
To find: Whether the given polynomial is a monomial, a binomial, or a trinomial.
(c)
Answer to Problem 14E
The given polynomial is a binomial.
Explanation of Solution
Given information:
The given polynomial is
Concept used:
A polynomial written with descending powers of
A polynomial with one term is called a monomial, while a polynomial with two terms is called a binomial and a polynomial with three terms is called a trinomial.
The given polynomial is
The given polynomial has two terms, so the given polynomial is a binomial.
Therefore, the given polynomial is a binomial.
Chapter A 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