Sangeetha Pulapaka

The degree of a polynomial is the highest of the degrees of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.

For example, the polynomial 

7x^{2}y^{3} +4x - 9 which can also be expressed as  7x^{2}y^{3} +4 x^{1}y^{0}-9x^{0}y^{0}  has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

Skills to recall:

What is a polynomial

What are monomials

What are exponents

What are non-zero coefficients

What are non-negative integers

What are variables