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 polynomial 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.