Question 962604
Zeros: {{{7}}}, {{{-i}}}, {{{-6+i}}}

if {{{-i}}} is zero, then {{{i}}} is zero too
if {{{-6+i}}} is zero, then {{{-6-i}}} is zero too

so, your polynomial is:

{{{f(x)=(x-x[1])(x-x[2])(x-x[3])(x-x[4])(x-x[5])}}}

{{{f(x)=(x-7)(x-i)(x+i)(x-(-6+i))(x-(-6-i))}}}

{{{f(x)=(x-7)(x^2-i^2)(x+6-i)(x+6+i)}}}

{{{f(x)=(x-7)(x^2-i^2)(x^2+6x+x*i+6x+36+6i-x*i-6i-i^2)}}}

{{{f(x)=(x-7)(x^2+1)(x^2+12x+37)}}}

{{{f(x)=(x^3-7x^2+x-7)(x^2+12x+37)}}}

{{{f(x)=(x^3-7x^2+x-7)(x^2+12x+37)}}}

{{{f(x)=x^5+5x^4-46x^3-254x^2-47x-259}}}