设 x^4+mx^3+nx-16=(x+1)(x+2)(x+a)(x+b)=x^4+(a+b+3)x^3+(2+3a+3b+ab)x^2+(2a+2b+3ab)x+2ab然后对应相等 得m=a+b+30=2+3a+3b+abn=2a+2b+3ab-16=2ab所以m+n=3a+3b+3ab+3=(2+3a+3b+ab)+1+2ab=0+1+(-16)=-15没有检查,...