Consider the field with 16 elements constructed using the irreducible polynomial f(x) = 1 + x + x4 over F. (i) Let a be a root of f(x). Show that a is a primitive element of F16. Represent each element both as a polynomial and as a power of a. Consider the field with 16 elements constructed using the irreducible polynomial f(x) = 1 + x + x4 over F. (i) Let a be a root of f(x). Show that a is a primitive element of F16. Represent each element both as a polynomial and as a power of a.