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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 solutions of this equation are called the roots of the polynomial; they are the zeroes of the function f (corresponding to the points where the graph of f meets the x-axis). A number a is a root of P if and only if the polynomial x â a (of degree one in x) divides P.