Question

question
determine if the expression $2x^4$ is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.
answer
the given expression

a polynomial.
represents
does not represent

Explanation:

Step1: Define polynomial criteria

A polynomial in one variable has the form $\sum_{i=0}^{n} a_i x^i$, where $a_i$ are constants, and exponents are non-negative integers.

Step2: Check given expression

For $2x^4$, the coefficient is $2$ (constant), exponent $4$ is a non-negative integer. It is a monomial (1-term polynomial).

Step3: Identify degree

The degree is the highest exponent, so $4$.

Answer:

The given expression represents a polynomial. It is a monomial (type) with a degree of 4.