A **monomial** is a number, variable, or product with non-fractional exponents.

3, 4xy, -8x, -

x

^{100} are monomials

4

^{-10}, x

^{-3}=

are not monomials

A **polynomial **is the sum or difference of monomials.

3 is a monomial

4x+2y is a binomial

4xy-5x+8 is a trinomial

The

**degree of a monomial** is the sum of the exponents of the variables.

The degree of 4xy is 2

The degree of 4x^{2}y^{3} is 5

The degree of 3 is 0

The **degree of a polynomia**l is the degree of the term with the largest degree.

The degree of the polynomial 4x^{3}+x^{2}+x^{8} is 8

**Standard
Form** of a polynomial is the list of the monomials in order from largest to smaller degree.

The polynomial x^{8}+4x^{3}+x^{2} is written in its Standard Form

**Leading coefficient** is the coefficient of the term with the largest degree.

The leading coefficient of the polynimial x^{8}+4x^{3}+x^{2} is 1.