9. Let Zs is a ring of integers mod 5 and f(x)eZ,(x) such that f(x) = x²+x+1, then: Zs a) f(x) is a field. b) f(x) has only two roots. c) f(x) has more than two roots. d) No one of the above. 55 4

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A: let R be a commutative ring and F=FR,R be the set of function f:R→R defined as f+gx=fx+gxfgx=fxgx…

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A: We know that results

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A:

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A:

Q: Let α be a zero of x3 + x2 + 1 in some extension field of Z2. Solve the equation (α + 1) x + α = α2…

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Q: Assume F1, F2, · · ·, Is U₁ Fi a field? i=1 2 Fn ... is an infinite sequence of fields with F₁ C F₂2…

A: