Concept explainers
(a)
To write: The polynomial in the standard form.
(a)
Answer to Problem 10E
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 10E
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 10E
The given polynomial is a monomial.
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 only one term, so the given polynomial is a monomial.
Therefore, the given polynomial is a monomial.
Chapter A Solutions
EBK PRECALCULUS W/LIMITS
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