若(x+3)•(x+m)=x2+nx-12,则m=_,n=_.
问题描述:
若(x+3)•(x+m)=x2+nx-12,则m=______,n=______.
答
(x+3)•(x+m)=x2+nx-12,
∴x2+mx+3x+3m=x2+nx-12,
∴x2+(3+m)x+3m=x2+nx-12,
∴
,
3+m=n 3m=−12
解得:m=-4,n=-1,
故答案为:-4,-1.