整系数多项式就是系数为整数的多项式，用Z[x]的符号表示。所有整系数多项式的集合构成一个唯一因子分解整环。常值多项式0为其0元，常值多项式1为其幺元。
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.
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