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.
实数范围内多项式的因式分解在初等数学的许多领域占有举足轻重的地位。
The divisor decompose of polynomial in real number field be important in the many field of elementary mathematics.
利用待定系数法得出了三元二次多项式可进行因式分解的充要条件，并应用这个充要条件解决了两个具体问题。
In this paper a suffitient and necessary condition of factoring on the polynomial of three variables power two is obtained by using undefinite co efficient method.
利用待定系数法得出了三元二次多项式可进行因式分解的充要条件，并应用这个充要条件解决了两个具体问题。
In this paper a suffitient and necessary condition of factoring on the polynomial of three variables power two is obtained by using undefinite co efficient method.
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