List the elements of the field given in Exercise 51, and

Chapter 14, Problem 52E

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Problem 52E

List the elements of the field given in Exercise 51, and make an addition and multiplication table for the field.

Reference:

Let Z2[x] be the ring of all polynomials with coefficients in Z2 (that is, coefficients are 0 or 1, and addition and multiplication of coefficients are done modulo 2). Show that is a field.

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