y=x的三次方-2x的二次方-x+2

问题描述:

y=x的三次方-2x的二次方-x+2

y=x^3-2x^2-x+2
=x^2(x-2)-(x-2)
=(x^2-1)(x-2)=0

x=2 或 x=1 或 x=-1

当y=0时,
x³-2x²-x+2=0
x²(x-2)-(x-2)=0
(x-2)(x-1)(x+1)=0
∴x1=2,x2=1,x3=-1