如何把x^3 -3x+2化解为(x+2)(x-1)^2 ?

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如何把x^3-3x+2化解为(x+2)(x-1)^2?如何把x^3-3x+2化解为(x+2)(x-1)^2?如何把x^3-3x+2化解为(x+2)(x-1)^2?x^3-3x+2=x^3-4x+x+2

如何把x^3 -3x+2化解为(x+2)(x-1)^2 ?
如何把x^3 -3x+2化解为(x+2)(x-1)^2 ?

如何把x^3 -3x+2化解为(x+2)(x-1)^2 ?
x^3 -3x+2
=x^3-4x+x+2
=x(x^2-4)+(x+2)
=x(x+2)(x-2)+(x+2)
=(x+2)[x(x-2)+1]
=(x+2)(x^2-2x+1)
=(x+2)(x-1)^2

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

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