Find an​ nth-degree polynomial function with real​ coefficients, a leading coefficient of​ 1, and satisfying the given conditions

Question

n=4

I and 12i are the zeros

Answer 1

(x-i)(x+i)(x-12i)(x+12i) =

(x^2+1)(x^2+144) =

x^4 + 145x^2 + 144