# Degree of a Polynomial

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial $7{y}^{3}{z}^{2}$ is $5\left(=3+2\right)$ .

Example 2:

The degree of the monomial $7x$ is $1$ (since the power of $x$ is $1$ ).

Example 3:

The degree of the monomial $66$ is $0$ (constants have degree $0$ ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)

Example 4:

The degree of the polynomial

${x}^{7}+2{x}^{3}+6x-{x}^{7}$ is $3$ .

(since the polynomial can be simplified to $2{x}^{3}+6x$ , in which the term with the highest power of $x$ is $2{x}^{3}$ ).

Example 5:

The degree of the polynomial

$xyz+x{y}^{3}+99{x}^{2}$ is 4

(since the term $x{y}^{3}$ has degree $1+3=4$ .)