Question
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?
$x+x^2+x^3+4 y^4$

Answer

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 $x+x^2+x^3+4 y^4$ has exactly four terms, i.e. $x, x^2, x^3$ and $x^4$ Therefore, it doesn't belong to any of the categories.

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