Question

question determine if the expression (5a^2b) 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 a polynomial.

Explanation:

Step1: Define polynomial criteria

A polynomial is an expression with non-negative integer exponents on variables, no variables in denominators, radicals, or negative exponents. For $5a^2b$, exponents of $a$ is 2, $b$ is 1 (both non-negative integers).

Step2: Classify polynomial type

A polynomial with one term is a monomial.

Step3: Calculate polynomial degree

Degree = sum of variable exponents: $2 + 1 = 3$.

Answer:

The expression $5a^2b$ is a polynomial. It is a monomial, and its degree is 3.