这个算法还能很自然地推广成分解多元整系数多项式的算法。
This algorithm can be naturally generalized to be an algorithm for factoring multivariate polynomials with integral coefficients.
本文利用整系数多项式与正有理数的对应，将多项式因式分解通过对真分数序列筛选的办法求得因式。
Through the corresponding between integral coefficient polynomial and rational number, this paper obtains factorization from factorization of polynomial by the way of sieve in true fraction series.
据此，本文建立了二元整系数多项式因式分解的一种理论，提出了一个完整的分解二元整系数多项式的算法。
According to this idea, this paper founds a theory and then obtains a complete algorithm for factoring bivariate polynomials with integral coefficients.
通过研究多项式的系数来确定整系数多项式的有理根，进而得出整系数多项式的有理根的一个判定定理和根的存在定理。
The paper available mapping of integral coefficient polynomial and rational number, obtain factorization from factorization of polynomial by the way of sieve in true fraction series.
通过研究多项式的系数来确定整系数多项式的有理根，进而得出整系数多项式的有理根的一个判定定理和根的存在定理。
The paper available mapping of integral coefficient polynomial and rational number, obtain factorization from factorization of polynomial by the way of sieve in true fraction series.
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