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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.
Objectives. 1  Students will determine the multiplicity of zeros of a polynomial function when given its graph or its equation in factored form. 2  Students will write an equation for a polynomial function when given information about its zeros and the multiplicity of the zeros.