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For the sake of simplicity, in the sequel a (Laurent) polynomial of negative degree is understood to be the zero polynomial and, similarly, a banded matrix with negative bandwidth reduces to the zero matrix.
If no constant term appears, then the constant term is. . The degree of a (nonzero) monomial is the sum of the exponents of its variables. Since. , the degree of a (nonzero) constant is. . Most sources do not define the degree of the polynomial. ; some define the degree of the polynomial. to be. .The degree of a polynomial is the maximum of the degrees of its terms after the polynomial has been expanded. For example, the polynomial. has degree. . The coefficient of a monomial is the numerical (non-variable) portion of the monomial.n expanded polynomial is in descending order if the degrees of the terms of the polynomial are strictly decreasing as the polynomial is read from left to right. Note that, for a polynomial to be written in descending order, all like terms have to be combined.