Question: Q3 (10 points) Consider the polynomial at) : 3:3 m + l E $3M]. Since m) has no roots in E3 and it has degree

Q3 (10 points) Consider the polynomial at) : 3:3
Q3 (10 points) Consider the polynomial at) : 3:3 m + l E $3M]. Since m) has no roots in E3 and it has degree 3 it is irreducible. Thus the ring R :2 Zg[$]f{f($)) is a finite fieldsof order 2?. Let 0: E R denote the element :2: + [mlj . so that rm) 2 0. We proved in class that RX is cyclic. Find (with proof!) an element 1|" E Rx which is a generator. In other 1wordsr find an element 5" such that every element in RX is of the form \"r\" for an integer n

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