Question

Find the polynomial equation over R of lowest degree which is satisfied by 1-i and 3+2i

Answer 1

It can be proved that the unknown equation is $(x-(1-i))(x-(1+i))(x-(3+2i))(x-(3-2i))=0$. Or the equivalent form $x^4-8x^3+27x^2-38x+26=0$.