Let f(x) F x where F is a field, and let F Show that the remainder r(x) when f(x) is divided by x , in accordance with the division algorithm, is f() ...

Let f(x) F[x] where F is a field, and let F. Show that the

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Let f(x) ∈ F[x] where F is a field, and let α ∈ F. Show that the remainder r(x) when f(x) is divided by x - α, in accordance with the division algorithm, is f(α).

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