作业帮因式分解x^3-2x^2+1
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 22:14:08
因式分解x^3-2x^2+1
因式分解x^3-2x^2+1
因式分解x^3-2x^2+1
x^3-2x^2+1
=x³-x²-x²+1
=x²(x-1)-(x-1)(x+1)
=(x-1)(x²-x-1)
或者继续分解
x^3-2x^2+1
=x³-1-2x²+2
=(x-1)(x²+x+1)-2(x+1)(x-1)
=(x-1)[(x²+x+1)-2(x+1)]
=(x-1)(x²-x-1)
=(x-1)[x-(1＋√5)/2][x-(1-√5)/2]
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