math question that I need help with

Question

Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.)

−1, 4, 3 − 2i

Answer 1

(x+1)(x-4)(x-3)(x^2+4) =

x^5 - 6x^4 + 9x^3 -12x^2 + 20x + 48

also multiply that 5th degree polynomial by any constant real number or integer

such as 2

2x^2 - 12x^4 + 18x^3 -24x^2 + 40x + 96