问答题 设g1(x)g2(x)|f1(x)f2(x)f1(x)|g1(x),f1(x)≠0,则g2(x)|f2(x).
   设g1(x)g2(x)|f1(x)f2(x)且g1(x)|f1(x),则g2(x)|f2(x)?
【正确答案】[例] 设g1(x)=x-1,g2(x)=(x+1)(x2-4),f1(x)=(x-1)(x-2),f2(x)=(x+1)(x+2).显然g1(x)g2(x)|f1(x)f2(x)且g1(x)|f1(x),但g2(x)+f2(x).
【答案解析】