Question 40991
I disagree with fractalier's solution.  For a polynomial to have real coefficients, the complex roots come in conjugate pairs, but real roots need not be paired.  Therefore for the polynomial solution with the lowest degree the factors are:
{{{(x+4i)(x-4i)(x-sqrt(7))=0}}}
so the polynomial is:
{{{x^3-sqrt(7)x^2+16x-16sqrt(7)=0}}}