# How do you state the degree of the polynomial xy^2 + 3xy - 7 + y?

Oct 27, 2015

$x {y}^{2} + 3 x y - 7 + y$ has degree $3$

#### Explanation:

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

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

$x {y}^{2} = {x}^{1} {y}^{2}$ has degree $1 + 2 = 3$
$3 x y = 3 {x}^{1} {y}^{1}$ has degree $1 + 1 = 2$
$- 7$ has degree $0$
$y = {y}^{1}$ has degree $1$

The largest degree of the terms of $x {y}^{2} + 3 x y - 7 + y$ is $3$