Proving that the polynomial is irreducible
Problem:
Prove that the polynomial x2 + x + 1 is irreducible over F, the field of integers modulo 2.
Provide complete and step by step solution for the question and show calculations and use formulas.
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If f(x) and g(x) are two non-zero elements of F[x], then prove that deg [f(x)g(x)] = deg f(x) + deg g(x)
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