I need to know how to solve this question.

How do you write a polynomial function of least degree with integral coefficients that has the given zeros.

Problem: 3-2i

Thank you!

I need to know how to solve this question.

How do you write a polynomial function of least degree with integral coefficients that has the given zeros.

Problem: 3-2i

Thank you!

Tutors, please sign in to answer this question.

New Wilmington, PA

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

Aliquippa, PA

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

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