Let a,b,c,d be real numbers. Suppose that all the roots of z4+az3+bz2+cz+d=0 are complex numbers lying on a circle in the complex plane centered at 0+0i and having radius 1. The sum of the reciprocals of the roots is necessarily<spanclass=′latex−bold′>(A)</span> a<spanclass=′latex−bold′>(B)</span> b<spanclass=′latex−bold′>(C)</span> c<spanclass=′latex−bold′>(D)</span> −a<spanclass=′latex−bold′>(E)</span> −b algebrapolynomialcomplex numbersAMC