# How do you find the degree of 4x+6xy-3x^4y+5?

Nov 23, 2016

$\text{degree } 5$

#### Explanation:

The degree of a polynomial with 2 variables ( or more) is.

$\textcolor{red}{\text{ the sum of exponents with highest value}}$ for each term within the polynomial.

$4 {x}^{1} \to \text{degree1}$

$6 {x}^{1} {y}^{1} \to \text{degree 2 }$since (1 + 1 )=2

$3 {x}^{4} {y}^{1} \to \text{degree 5}$ since (4 + 1 ) =5

${5}^{0} \to \text{degree 0}$

Thus the polynomial is degree 5.