# What is the degree of 7x^2y^2 - 8xy^3 - 11x^3y?

Mar 1, 2016

$4$

#### Explanation:

The degree of a polynomial is the highest degree of any given term.

To find the degree of each individual term, add all the exponents present. Recall that $x = {x}^{1}$.

${\underbrace{7 {x}^{2} {y}^{2}}}_{2 + 2 = 4} - {\underbrace{8 {x}^{1} {y}^{3}}}_{1 + 3 = 4} - {\underbrace{11 {x}^{3} {y}^{1}}}_{3 + 1 = 4}$

The degree of each term is $4$. Hence the degree of the polynomial is the highest degree of any one term, but since they are all $4$, the polynomial's degree is also $4$.