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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.
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. 1  Polynomial Home. 2  Degree of Polynomial. 3  Add and Subtract Polynomials. 4  definition of coefficient. 5  definition of exponent.ust use the 'formula' for finding the degree of a polynomial. ie--look for the value of the largest exponent the answer is 2 since the first term is squared. Remember coefficients have nothing at all do to with the degree.