Question

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

xy + yz + zt + tx

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 \[xy + yz + zt + tx\] has exactly four terms xy, yz, zt and tx. Therefore, it doesn't belong to any of the categories.