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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.
Degree of Polynomial. The degree is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial. Note: Ignore coefficients -- coefficients have nothing to do with the degree of a polynomial. Related: Polynomial Home.