Question 757294
The general polynomial with these roots is:

{{{
p(x)=a(x-9)(x+i)(x-i)(x-(-8-i))(x-(-8+i))
}}}


let a=1, then


{{{
p(x)=(x-9)(x^2+1)(x^2+16x+65)
}}}



{{{
p(x)=x^5+7x^4-78 x^3-578 x^2-79 x-585
}}}


:)