# How do you find the degree of the polynomial 2p^2q - 3pq + q^2?

##### 1 Answer
Aug 22, 2015

$2 {p}^{2} q - 3 p q + {q}^{2}$ is of degree $3$

#### Explanation:

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

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

$2 {p}^{2} q = 2 {p}^{\textcolor{red}{2}} {q}^{\textcolor{red}{1}} \rightarrow \text{ degree } = \textcolor{red}{2} + \textcolor{red}{1} = 3$

$3 p q = 3 {p}^{\textcolor{red}{1}} {q}^{\textcolor{red}{1}} \rightarrow \text{ degree } = \textcolor{red}{1} + \textcolor{red}{1} = 2$

${q}^{2} = {q}^{\textcolor{red}{2}} \rightarrow \text{ degree } = \textcolor{red}{2} = 2$

Highest term has a degree of $3$
$\Rightarrow$ polynomial is of degree $3$