Question

question
determine if the expression ( w ) is a polynomial or not. if it is a polynomial, state the type and
degree of the polynomial.

answer attempt 1 out of 2
the given expression (quad) a polynomial.
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Explanation:

Step1: Recall Polynomial Definition

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables. The expression \( w \) can be written as \( 1\times w^1+0 \), where the coefficient of \( w \) is 1 and the exponent of \( w \) is 1 (a non - negative integer), and there are no operations other than the implicit multiplication of the coefficient and the variable.

Step2: Classify the Polynomial

Since the polynomial \( w \) has only one term, it is a monomial. The degree of a polynomial is the highest power of the variable in the polynomial. For the polynomial \( w = w^1 \), the highest power of \( w \) is 1, so the degree is 1. And since it satisfies the definition of a polynomial, the given expression is a polynomial.

Answer:

The given expression \(\boldsymbol{\text{is}}\) a polynomial. (It is a monomial of degree 1)