##  [Eisenstein's Criterion](/eisensteins-criterion) 

  ##  [Eisenstein's Criterion](https://algebra.quantumdictionary.io/eisensteins-criterion-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A sufficient irreducibility test for polynomials with integer coefficients: if there exists a prime p such that p divides all coefficients except the leading coefficient, p^2 does not divide the constant term, and p does not divide the leading coefficient, then the polynomial is irreducible over the rationals.