construct a polynomial

Question

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of 5 − i, 5 + i, and 3, and a leading coefficient of −7

Answer 1

f(x) = -7(x - 3) [x - (5 - i)] [x - (5 + i)]

Expand to standard form if you wish. All the coefficients will come out real.