# What is the degree of the polynomial 3x^2y-5x^2?

Jun 26, 2015

It is degree $3$.

#### Explanation:

The degree of a polynomial is the degree of the highest degree term that has non-zero coefficient.

The degree of a term is the sum of the powers on the variables in that term. A non-zero constant term has degree $0$.

This polynomial can be written as

$3 {x}^{2} {y}^{1} - 5 {x}^{2}$

And the degree of each term is

$3 {x}^{2} {y}^{1} \rightarrow 3$
$5 {x}^{2} \rightarrow 2$

Since $3 > 2$, the degree of the entire polynomial is $3$.