Question

已知2x²+3x-6=A(x-1)²+B(x-1)+C,求实数A B C

Answer 1

2x²+3x-6=2(x-1)²+5(x-1)-3
a=2
b=5
c=-3

Answer 2

2x²+3x-6=A(x-1)²+B(x-1)+C=Ax²＋﹙－2A＋B﹚x＋﹙－A－B＋C﹚
A=2
－2A＋B=3
－A－B＋C=－6
A=2, B=7
C=3