# What is the degree of this polynomial 18^3-3w^2+4y^4-3?

Aug 1, 2015

The degree of the polynomial ${18}^{3} - 3 {w}^{2} + 4 {y}^{4} - 3$ is $4$

#### Explanation:

The degree of a polynomial is the highest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables which are factors of that term.

$\textcolor{w h i t e}{\text{XXXX}}$The degree of ${18}^{3}$ is $0$
$\textcolor{w h i t e}{\text{XXXX}}$The degree of $3 {x}^{2}$ is $2$
$\textcolor{w h i t e}{\text{XXXX}}$The degree of $4 {y}^{4}$ is $4$
$\textcolor{w h i t e}{\text{XXXX}}$The degree of $3$ is $0$

The highest degree of the terms is $4$

The degree of the polynomial is $4$