The
degree of a
polynomial is the highest degree of its terms when the polynomial is expressed in its
canonical form consisting of a linear combination of
monomials. The
degree of a term is the sum of the exponents of the
variables that appear in it. The term
order has been used as a synonym of
degree but, nowadays, may refer to several other concepts (see
order of a polynomial). For example, the polynomial has three terms. (Notice, this polynomial can also be expressed as .) 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.