Question

Form a polynomial f(x) with real coefficients having the given degree and zeros

degree 3: zeros -3 and 3-2i

Answer 1

For it to have real coefficients, complex zeroes (3-2i), occur as conjugate pairs of zeros. So if 3-2i is a zero, so must be 3+2i, the conjugate.
(x - first zero)(x - second zero)... gives the polynomial, so
(x - (-3))(x - (3-2i))(x - (3+ 2i)) is how to turn the zeroes into a polynomial. Now multiply through to get the polynomial...