Let F be a field and let f(x) = anxn + an–1xn–1 + ··· + a0
Chapter 16, Problem 32E(choose chapter or problem)
Let F be a field and let \(f(x)=a_n x^n+a_{n-1}x^{n-1}+\cdots +a_0 \in F[x]\). Prove that x - 1 is a factor of f(x) if and only if \(a_n+a_{n-1}+\cdots+a_0=0\).
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