Question

question
determine if the expression $9c^5 + 5c^3$ 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: Check polynomial criteria

A polynomial is an expression with non-negative integer exponents on variables, no variables in denominators, radicals, etc. The expression $9c^5 + 5c^3$ has terms with non-negative integer exponents ($5$ and $3$) on $c$, so it meets the criteria.

Step2: Identify polynomial type

A polynomial with two terms is a binomial.

Step3: Find polynomial degree

The degree of a polynomial is the highest exponent of its variable. Here, the highest exponent is $5$.

Answer:

The given expression is a polynomial. It is a binomial, and its degree is 5.