证明p(x)整除f(x)g(x)则有p(x)整除g(x)或p(x)整除f(x)

问题描述:

证明p(x)整除f(x)g(x)则有p(x)整除g(x)或p(x)整除f(x)

不一定啊,反例如下
p(x)=(x+1)(x+2)
f(x)=(x+1)(x+3)
g(x)=(x+2)(x+3)