x3-3x2+x+1=0怎么变成(x-1)(x2-2x-1)=0请尽快回答
问题描述：
x3-3x2+x+1=0怎么变成(x-1)(x2-2x-1)=0
请尽快回答
答
x3－2x2－x2－x＋2x＋1＝x (x2－2x－1)－(x2－2x－1)＝(x－1)(x2－2x－1)
答
x3-3x2+x+1=0
x3-x2-2x2+2x-x+1=0
x2(x-1)-2x(x-1)-(x-1)=0
(x-1)(x2-2x-1)=0
答
(x³-x²)-(x²-x)-(x²-1)=0
x²(x-1)-x(x-1)-(x+1)(x-1)=0
(x-1)(x²-x-x-1)=0
(x-1)(x²-2x-1)=0