# How do you find the degree of 4y - 5xz?

Oct 18, 2015

$4 y - 5 x z$ has degree $2$

#### Explanation:

The degree of an expression the 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.

$4 y = 4 {y}^{\textcolor{g r e e n}{1}}$ has a degree of $\textcolor{g r e e n}{1}$

$5 x z = 5 {x}^{\textcolor{red}{1}} {z}^{\textcolor{b l u e}{1}}$ has a degree of (color(red)(1)+color(blue)(1)) =2

$\left(5 x z\right)$ has a higher degree than $\left(4 y\right)$
Therefore the degree of the expression is the degree of $\left(5 x z\right)$, namely $2$