Question

Classify the following polynomial as monomial, binomial, trinomial. Which polynomial do not fit in any category?

p²q + pq²

Answer 1

Definitions:
A polynomial is monomial if it has exactly one term. It is called binomial if it has exactly two non-zero terms. A polynomial ​is a trinomial if it has exactly three non-zero terms.

The polynomial \[p^2 q + p q^2\] has exactly two terms, i.e.,​ \[p^2 q\] and \[p q^2\].Therefore, it is a binomial.