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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.
Question 4: Make a desired sketch of the graph of the most general polynomial function which satisfies the given conditions: 1  Degree 3 has a zeros of 2 and 1 (with multiplicity 2). 2  Degree 4 has a zeros of -2, 2 and 0 (with multiplicity 2), leading coefficient is positive.