Kronecker's Polynomial Theorem

An algebraically soluble equation of odd prime degree which is irreducible in the natural field possesses either

1. Only a single real root, or

2. All real roots.

See also

Abel's Irreducibility Theorem, Abel's Lemma, Schönemann's Theorem

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References

Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover p. 127, 1965.

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Kronecker's Polynomial Theorem

Cite this as:

Weisstein, Eric W. "Kronecker's Polynomial Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KroneckersPolynomialTheorem.html

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