Question

determine whether the expression is a polynomial. if it is a polynomial, state whether it is a monomial, binomial, or trinomial.
$5n^{3}+nq^{3}$
select choice
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Explanation:

Step1: Check polynomial criteria

A polynomial has non-negative integer exponents on variables, no variables in denominators, no radical variables. For $5n^3 + nq^3$, variables $n,q$ have exponents 3,1 (non-negative integers), no invalid terms. So it is a polynomial.

Step2: Count polynomial terms

The expression has two distinct terms: $5n^3$ and $nq^3$. A polynomial with 2 terms is a binomial.

Answer:

It is a polynomial, specifically a binomial.