# How do you find the degree of a polynomial in two variables?

Sep 14, 2015

It is the maximum degree of the degrees of the terms with non-0 coefficients.

#### Explanation:

Each term has degree equal to the sum of the exponents on the variables.

The degree of the polynomial is the greatest of those.

$3 {x}^{2} y$ has degree 3

$3 {y}^{4}$ has degree 4

${x}^{2} {y}^{5}$ has degree 7

So $3 {x}^{2} y + 3 {y}^{4} + {x}^{2} {y}^{5}$ has degree 7