Degree of a Polynomial
The degree of a term of a polynomial is the sum of the exponents of the
variables in that term.
For example, consider this trinomial:


6x^{3}y^{2} + xy^{2} + 3^{5}x^{4}. 
The degree of the first term is 5.

degree 
6x^{3}y^{2} = 3 + 2 = 5 
The degree of the second term is 3.

degree 
xy^{2} = x^{1}y^{2} = 1 + 2 = 3 
The degree of the last term is 4.
In 35, the exponent does not contribute
to the degree because the base, 3, is not
a variable.

degree 
3^{5}x^{4} = 4 
The degree of a polynomial is equal to
the degree of the term with the highest degree.



In this polynomial, the term with
the highest degree has degree 5.
So this polynomial has degree 5. 
The polynomial has degree 5. 
