\(=x^3-6x^2+12x-8-x+2\)
\(=\left(x-2\right)^3-\left(x-2\right)\)
\(=\left(x-2\right)\left[\left(x-2\right)^2-1\right]\)
\(=\left(x-2\right)\left(x^2-4x+4-1\right)\)
\(=\left(x-2\right)\left(x^2-4x+3\right)\)
Phân tích đa thức thành nhân tử :
\(x^3-6x^2+11x-6\)
\(=x^3-x^2-5x^2+5x+6x+6\)
\(=x^2\left(x-1\right)-5\left(x-1\right)+6x\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2-5x-6\right)\)
\(=\left(x-1\right)\left(x-2\right)\left(x-3\right)\)
_Chúc bạn học tốt_