Question 964448
Not a possible polynomial,
{{{f(x)=a(x+2)(x+2i)(x-3)^2}}}
{{{f(x)=a(x^2+(2+2i)x+4i)(x^2-6x+9)}}}
{{{f(x)=a(x^4+(2i-4)x^3-(8i+3)x^2-(6x-18)x+36i)}}}
This is a polynomial of degree 4 but it doesn't have real coefficients.
To get real coefficients, {{{x=2i}}} must also be a root, but then it will have a degree of 5. 
Check the problem setup and repost.