已知A=2x²+3ax-2x-1,B=-x²-ax+1,且3A+6B的值与x无关,求a的值?

问题描述:

已知A=2x²+3ax-2x-1,B=-x²-ax+1,且3A+6B的值与x无关,求a的值?

3A+6B
=3(2x²+3ax-2x-1)+6(-x²-ax+1)
=6x²+9ax-6x-3-6x²-6ax+6
=3ax-6x+3
=x(3a-6)+3

3a-6=0
3a-6=0
a=2

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3A+6B
=6x²+9ax-6x-3-6x²-6ax+6
=(3a-6)x+3
和xd无关则x系数为0
3a-6=0
a=2