Question 715732
Rational coefficients?


{{{(x+sqrt(3))(x-sqrt(3))(x+2i)(x-2i)=0}}},  It MUST be at least a degree 4 function.  The trick is to not be mislead when seeing only the two listed roots.


Do the multiplying for those four binomials:
{{{(x^2-3)(x^2-4)=0}}}


Do the rest of the multiplying if you want general form:
{{{x^4-3x^2-4x^2+12=0}}}
{{{highlight(x^4-7x^2+12=0)}}}
Or if you prefer,
{{{highlight(P(x)=x^4-7x^2+12)}}}