Monomials, Binomials, Polynomials
A monomial is any product of numbers and variables, like , or , or , or
The only rules are that the variables should be raised to only positive integer powers (no square roots or 's allowed), and no plus or minus signs.
The coefficient of a monomial is the numerical part. For example, in the above examples, the coefficients are and .
A binomial is the sum of two monomials, for example or or
A trinomial is the sum of three monomials.
A polynomial is the sum of monomials, for some whole number . So monomials, binomials and trinomials are all special cases of polynomials. A polynomial can have as many terms as you want.