Question: 2. Let F be a field and let f(x) = do + aix+ . . . + anx E F[x]. Suppose that a * 0

2. Let F be a field and let f(x) = do + aix+ . . . + anx" E F[x]. Suppose that a * 0 is a zero of f(x). Prove that a- is a zero of g(x) = an + an-12 + . .. + dorn

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