Question 940563
With real coefficients, complex roots come in complex conjugate pairs.
With rational coefficients, {{{-sqrt(3)}}} must also be a root.
{{{f(x)=(x-sqrt(3))(x+sqrt(3))(x-2i)(x+2i)}}}
{{{f(x)=(x^2-3)(x^2+4)}}}
{{{f(x)=x^4+x^2-12}}}