If F is a field and a 0 is a zero of f (x) a 0 a 1 x a n x n in F x , show that 1 a is a zero of a n a n 1 x a 0 x n ...

We are given that fa a 0 a 1 a ...

If F is a field and a 0 is a zero of f (x) = a

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If F is a field and a ≠ 0 is a zero of f (x) = a₀ + a₁x + • • • + a_nxⁿ in F[x], show that 1/a is a zero of a_n +a_n_-1x+··· +a₀xⁿ.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 04, 2023 05:04 AM

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If F is a field and a 0 is a zero of f (x) = a

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A First Course In Abstract Algebra

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