Question 855630
Degree is FOUR, because if one of the zeros is -2i, then 2i is also needed.


Factored form of the needed polynomial:
{{{(x+1)(x-3)(x+2i)(x-2i)}}}
-
{{{(x^2-2x-3)(x^2-(2i)^2)}}}
{{{(x^2-2x-3)(x^2+4)}}}
{{{x^4-2x^3-3x+4x^2-8x-12}}}
{{{highlight(x^4-2x^3+4x^2-11x-12)}}}