Question: Given a field F, let f(x) F[x] where f(x) = anxn + an-1xn-l + + a2x2 + a1x + do. Prove

Given a field F, let f(x) ∈ F[x] where f(x) = anxn + an-1xn-l + • • • + a2x2 + a1x + do. Prove that x - 1 is a factor of f(x) if and only if
an + an - l + ∙∙∙∙∙∙∙ + a2 + a1 + a0 = 0.

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