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How do you write a polynomial function with the given zeros. 3-2i

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2 Answers

If 3-2i is a zero of a polynomial with integer coefficients, then the conjugate 3+2i must also be a zero of this polynomial. Therefore, the polynomial is at least quadratic (degree 2):
 
(x - (3-2i))(x - (3+2i)) = x² -6x + 13

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Cynthia, are you sure there's not more to this question?  What degree is the polynomial supposed to be?