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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.
Polynomial Definition Of Polynomial. A polynomial is a monomial or a sum or difference of two or more monomials. More About Polynomial. Polynomial function: A polynomial function is a function whose terms each contain a constant multiplied by a power of a variable. P(x) = a 0 x n + a 1 x n-1 + .....+ a n-2 x 2 + a n-1 x + an is a polynomial function