问题
解答题
已知A=-y2+ay一1,B=2y2+3ay-2y-1,且多项式2A+B的值与字母y的取值无关,求a的值.
答案
∵A=-y2+ay一1,B=2y2+3ay-2y-1,
∴2A+B=2(-y2+ay-1)+2y2+3ay-2y-1=-2y2+2ay-2+2y2+3ay-2y-1=(5a-2)y-3,
∵结果与y取值无关,
∴5a-2=0,即a=
.2 5
已知A=-y2+ay一1,B=2y2+3ay-2y-1,且多项式2A+B的值与字母y的取值无关,求a的值.
∵A=-y2+ay一1,B=2y2+3ay-2y-1,
∴2A+B=2(-y2+ay-1)+2y2+3ay-2y-1=-2y2+2ay-2+2y2+3ay-2y-1=(5a-2)y-3,
∵结果与y取值无关,
∴5a-2=0,即a=
.2 5