关于多项式的整除以下命题正确的是

A.若f(x)|g(x)h(x),且f(x)|g(x)则f(x)|h(x)
B.若g(x)|f(x),h(x)|f(x),则g(x)h(x)|f(x)
C.若f(x)|g(x)+h(x)且f(x)|g(x)则/ f(x)|h(x)
D.若f(x)|g(x)曠(x)|h(x)则f(x)|g(x)h(x)