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.