#### Answer

degree = 5

#### Work Step by Step

The degree of a term is equal to the sum of the exponents of its variables.
The degree of the polynomial is equal to the degree of the term with the highest degree.
The terms of the polynomial have the following degrees:
First:
$=3+2=5$
Second:
$=2+2=4$
Third:
$=4$
Thus, the degree of the given polynomial is 5.