Question

Find a polynomial with integer coefficients that has -5, -2, and 2+square root of 3i

Answer 1

Hi, Kelly,
Please check: Did you mean\[2+i*\sqrt{3} \] and \[2-i*\sqrt{3} \] instead of: 2+square root of 3i ??

Answer 2

I think it unlikely that you'll find a polynomial with integer coefficients if you have only ONE complex root. Complex roots typically appear in pairs.