x^3-11x^2+31x-21
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x^3-11x^2+31x-21x^3-11x^2+31x-21x^3-11x^2+31x-21x^3-11x^2+31x-21=x^3-x^2-[10x^2-31x+21]=x^2[x-1]-[10
x^3-11x^2+31x-21
x^3-11x^2+31x-21
x^3-11x^2+31x-21
x^3-11x^2+31x-21
=x^3-x^2-[10x^2-31x+21]
=x^2[x-1]-[10x-21][x-1]
=[x-1][x^2-10x+21]
=[x-1][x-3][x-7]
x^3-11x^2+31x-21
=x^3-x^2-[10x^2-31x+21]
=x^2[x-1]-[10x-21][x-1]
=[x-1][x^2-10x+21]
=[x-1][x-3][x-7]
(x-1)(x-3)(x-7)
(x-7)(x-3)(x-1)
x^3-11x^2+31x-21
=x^3-x^2-[10x^2-31x+21]
=x^2[x-1]-[10x-21][x-1]
=[x-1][x^2-10x+21]
=[x-1][x-3][x-7]
原式=（X-1）×（X-3）×（X-7）
用交叉相乘法，你自己可以试试^_^
x^3-11x^2+31x-21 =x^3-x^2-10x^2+10x+21x-21=x^2(x-1)-10x(x-1)+21(x-1)=
(x^2-10x+21)(x-1)=(x-3)(x-7)(x-1)
X^3-11X^2+31X-21过程详细
求因式分解,x^3-11x^2+31x-21
x^3-11x^2+31x-21
x^3-11x^2+31x-21
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