Question

How do you write a polynomial with rational coefficients having roots 3, 3, and 3-i?

Answer 1

remember since there is an imaginary root, there has to be a conjugate root of the one you listed. then you will foil the imaginary roots to get rid of i and then foil your other roots binomials individually into the foiled imaginaries to get your polynomial

Answer 2

\[(x-3)(x-3)(x-(3-i))(x-(3+i))\]