Correct the definition of the italicized term without reference to the text, if correction is needed, so

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Correct the definition of the italicized term without reference to the text, if correction is needed, so that it is in a form acceptable for publication. 

A polynomial f(x) ∈ F[x] is irreducible over the field F if and only if f(x) ≠ g(x)h(x) for any polynomials g(x), h(x) ∈ F[x].

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