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, sign in to answer this question.

Marked as Best Answer

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

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Kyoko I.

Native Japanese Speaker Fluent in English, Customized Teaching

$11.25 per 15 min

View Profile >

Douglas L.

Patient and Knowledgeable Math and Science Tutor

$12.50 per 15 min

View Profile >

Haroldo S.

Biomedical Engineer (UC Berkeley PhD) for Math and Science Tutoring

$12.50 per 15 min

View Profile >

## Comments