# What is the degree of x^2 + 2x + 3?

Jul 31, 2015

The degree of ${x}^{2} + 2 x + 3$ is $2$

#### 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 within that term.

$\textcolor{w h i t e}{\text{XXXX}}$${x}^{2}$ has degree $2$
$\textcolor{w h i t e}{\text{XXXX}}$$2 x = 2 {x}^{1}$ has degree $1$
$\textcolor{w h i t e}{\text{XXXX}}$$3 = 3 {x}^{0}$ has degree $0$

The highest degree of the terms is $2$ and this is therefore the degree of the polynomial