If .A is a simple eigenvalue, then 8 = 1 and t0 = 0, which means. that the coefficient _{ xd+O on the left side is qdto = 0. Since the right-hand side has degree d, .the coefficient of xd+1 is 0. These two facts give us the trivial equation 0 = 0.. we have d + 1 remaining equations for the d + 1 coefficients of q. These are