Monomials, Binomials, Polynomials

A monomial is any product of numbers and variables, like 17, or 3xy, or –4x², or

The only rules are that the variables should be raised to only positive integer powers (no square roots or 1/x's allowed), and no plus or minus signs.

A binomial is the sum of two monomials, for example x + 3, or 55x² – 33y², or

A trinomial is the sum of three monomials.

A polynomial is the sum of n monomials, for some whole number n. So monomials, binomials and trinomials are all special cases of polynomials. A polynomial can have as many terms as you want.