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The GCD of x^3+ x + 1 and x^2 + x + 1 over GF(2) is

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The GCD of x^3+ x + 1 and x^2 + x + 1 over GF(2) is

(a) 1

(b) x + 1

(c) x^2

(d) x^2 + 1

I have been asked this question during an online exam.

Query is from Polynomial and Modular Arithmetic- IV topic in chapter Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

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