Gauss's Polynomial Theorem

Let f be an integer polynomial. The f can be factored into a product of two polynomials of lower degree with rational coefficients iff it can be factored into a product of integer polynomials of lower degree.

See also

Abel's Irreducibility Theorem, Abel's Lemma, Gauss's Polynomial Identity, Kronecker's Polynomial Theorem, Polynomial, Schönemann's Theorem

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Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, p. 119, 1965.

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Gauss's Polynomial Theorem

Cite this as:

Weisstein, Eric W. "Gauss's Polynomial Theorem." From MathWorld--A Wolfram Web Resource.

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