Abstract Algebra: Theory and Applications · Problem 17.5.17

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · polynomial-evaluation

Problem

Let FF be a field and a∈Fa \in F. If p(x)∈F[x]p(x) \in F[x], show that p(a)p(a) is the remainder obtained when p(x)p(x) is divided by x−ax - a.

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