Question

determine if the expression 3 is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial. answer the given expression a polynomial.

Explanation:

Step1: Recall polynomial definition

A polynomial in one - variable $x$ is an expression of the form $a_nx^n + a_{n - 1}x^{n - 1}+\cdots+a_1x + a_0$, where $n$ is a non - negative integer and $a_i$ are constants. The expression 3 can be written as $3x^0$ (since $x^0 = 1$ for $x
eq0$ and in the context of polynomials, this is well - defined).

Step2: Determine type and degree

A polynomial with one term is called a monomial. The degree of a non - zero constant polynomial $a$ (where $a
eq0$) is 0 because when written in the form $ax^n$, for the constant 3, $n = 0$.

Answer:

The given expression is a polynomial. It is a monomial and its degree is 0.