Question

determine if the expression - 3x^2 is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial. the given expression represents a polynomial. does not represent

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.

Step2: Analyze the given expression $- 3x^2$

The expression $-3x^2$ is of the form $ax^n$, where $a=-3$ and $n = 2$ (a non - negative integer). So it is a polynomial.

Step3: Determine the type and degree

It is a monomial (a polynomial with one term). The degree of a polynomial $ax^n$ is $n$. Here, $n = 2$, so the degree is 2.

Answer:

The expression $-3x^2$ is a polynomial. It is a monomial of degree 2.