x^3-2x^2-x+2=0(该怎么分解,

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x^3-2x^2-x+2=0(该怎么分解,x^3-2x^2-x+2=0(该怎么分解,x^3-2x^2-x+2=0(该怎么分解,x^3-2x^2-x+2=x²(x-2)-(x-2)=(x-2)

x^3-2x^2-x+2=0(该怎么分解,
x^3-2x^2-x+2=0(该怎么分解,

x^3-2x^2-x+2=0(该怎么分解,
x^3-2x^2-x+2
=x²(x-2)-(x-2)
=(x-2)(x²-1)
=(x-2)(x-1)(x+1)

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

=x^2(x-2)-(x-2)
=(x^-1)(x-2)
=(x+1)(x-1)(x-2)

采用分组分解法
x^3-2x^2-x+2=x^3-x-2x^2+2=x(x^2-1)-2(x^2-1)=(x-2)(x^2-1)=(x-2)(x+1)(x-1)

X^3-2X^2-X+2
=X^2(X-2)-(X-2)
=(X-2)(X^2-1)
=(X-2)(X-1)(X+1)