问题
选择题
若x2-2x-1=0,那么代数式x3-x2-3x+2的值为( )
A.0
B.1
C.2
D.3
答案
由x2-2x-1=0,得:x2-2x=1,
∴x3-x2-3x+2
=x3-2x2+x2-3x+2
=x(x2-2x)+x2-3x+2
=x2-2x+2
=1+2
=3,
故选D.
若x2-2x-1=0,那么代数式x3-x2-3x+2的值为( )
A.0
B.1
C.2
D.3
由x2-2x-1=0,得:x2-2x=1,
∴x3-x2-3x+2
=x3-2x2+x2-3x+2
=x(x2-2x)+x2-3x+2
=x2-2x+2
=1+2
=3,
故选D.