Prove Theorem 17.7. For polynomials in F[x], (a) Every nonzero polynomial of degree < 1 is irreducible.

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Prove Theorem 17.7.
For polynomials in F[x],
(a) Every nonzero polynomial of degree < 1 is irreducible.
(b) if fix) ∈ F[x] with degree f(x) = 2 or 3, then f(x) is reducible if and only if f(x) has a root in the field F.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:13 AM

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Prove Theorem 17.7. For polynomials in F[x], (a) Every nonzero polynomial of degree < 1 is irreducible.

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Theorem 177 a Let fx Fx with deg f x 1 If fx were reducible then fx gxhx with deg g...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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