对多项式因式分解的另类思考

Another Thinking to Factorization of Polynomial

利用多项式加法和函数的复合运算,构造了数域F上一个新的多项式环结构(F[x],+,),并进一步讨论了该结构上几类多项式可因式分解的条件和它们的几何特征之间的关系.

A new ring structure of polynomial （F [ x ], ＋ , o ）is established by ordinary polynomial addition （ ＋ ） and function composition （ o ）. Furthermore, discussed the Conditions of several polynomials class can be factorization and geometric relationship over the new ring structure.