一、除法定理
(1)設f(x)、g(x)為二多項式，且g(x)¹0，則恰存在二個多項式Q(x)及r(x)
使得f(x)=g(x)·Q(x)+r(x) ( 其中r(x)=0 或 degr(x) < degg(x) )
(2)利用除法定理求值
設f(x)=g(x)·Q(x)+r(x)，若g(a)=0則f(a)=r(a)
二、綜合除法
設f(x)=anxn+an-1xn-1+¼¼+a2x2+a1x+a0 ，n為正整數
=Q(x)·(x-b)+A0
=An(x-b)n+An-1(x-b)n-1+¼¼+A1(x-b)+A0
(1) f(x)被x-b除之餘式為A0
(2) f(x)被(x-b)2除之餘式為A1(x-b)+A0，依此類推
(3) 利用綜合除法可將f(x)表為(x-b)之多項式：即
f(x)= An(x-b)n+An-1(x-b)n-1+¼¼+A1(x-b)+A0
_________________
The art of doing mathematics consists in finding that special case which contains all the germs of generality 
| 
