multiply from i=1 to n(x—a_i)除多项式f(x)所得的余式

Residue of Polynomial f (x) Divided by IIi=1 n (x-ai)

把多项式理论中的余数定理加以推广,给出用multiply from i=1 to a (x—a_i)(其中所有a_i均不相等)去除任意多项式f(x)所得的余式,并由此导出多项式理论中的部分结论。

Inthis paper, the remainder theorem of the polynomial theories aregeneralized, we obtains a residue when an arbitrary polynomial f(x) is divided by (x -ai) in all ai(i=1,2,...,n) not equal,and three theorems of the polynomial theories are concluded.