X^3-3x+2 如何因式分解

问题描述:

X^3-3x+2 如何因式分解

x^3-3x+2
=x³-x-2x+2
=x(x²-1)-2(x-1)
=x(x-1)(x+1)-2(x-1)
=(x-1)(x²+x-2)
=(x-1)(x-1)(x+2)
=(x-1)²(x+2)