Question

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

x + x² + x³ + 4y⁴

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 \[x + x^2 + x^3 + x^4\] has exactly four terms, i.e.,​ \[x, x^2 , x^3 \text { and } x^4\].

Therefore, it doesn't belong to any of the categories.