It calls the NTL library and gets the result, that's all, more or less.
Consult http://www.shoup.net/ntl/ to see how the actual hard work is done.

On Wednesday, January 25, 2017 at 10:21:06 AM UTC, Deshpande Varad 
Shailendra wrote:
>
> Hello guys,
> I wanted to know how does the is_irreducible() function in 
> polynomial_zz_pex work ?
>
> The link for the function is below :
>
> https://github.com/sagemath/sage/blob/master/src/sage/rings/polynomial/polynomial_zz_pex.pyx
>
>

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