Phân tích đa thức thành nhân tử:
\(a,x^3-6x^2+11x-6\)
\(=x^3-x^2-5x^2+5x+6x-6\)
\(=x^2\left(x-1\right)-5x\left(x-1\right)+6\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2-5x+6\right)\)
\(=\left(x-1\right)\left(x^2-3x-2x+6\right)\)
\(=\left(x-1\right)\left[x\left(x-3\right)-2\left(x-2\right)\right]\)
\(=\left(x-1\right)\left(x-2\right)\left(x-3\right)\)