n 7, 1. Let y := eTin C. Note that y = 1 and that y,,...,y are distinct E complex numbers (you may use these facts without proof). Define p(x) := x 2. - (a) Show that p(x) factors in C[x] as (x 72/n).. (x yn2/n). (b) Show that if q(x) is a monic factor of p(x) in C[x], then |q(0)| = 2m/n, where m = deg(q). (c) Show that p(x) is irreducible in Q[x].