zeros are i and (1+i)

Question

degree of the polynomial 4
constant term 12

How do i do it?
(x+i)(x-i)(x-1-i)(x-1+i)=0 ?
Where does the 12 go?

Thanks

Where does the 12 go?

Substitute x = 0 and find out what the constant term is now. Then multiply the polynomial you have now by a factor that will make the constant term equal to 12.