\left. \begin{array} { l } { x ^ { 3 } - 2 x ^ { 2 } - x + 2 } \\ { (

1.	\left. \begin{array} { l } { x ^ { 3 } - 2 x ^ { 2 } - x + 2 } \\ { ( 11 ) \quad x ^ { 3 } + 13 x ^ { 2 } + 32 x + 20 } \end{array} \right.
Answer» (1) x^3-2x^2-x+2=x^2(x-2)-1(x-2)=(x^2-1)(x-2)=(x+1)(x-1)(x-2) (2) x^3+13x^2+32x+20=x^3+x^2+12x^2+12x+20x+20=x^2(x+1)+12x(x+1)+20(x+1)=(x^2+ 12x+20)(x+1)=(x+1)(x+2)(x+10)

\left. \begin{array} { l } { x ^ { 3 } - 2 x ^ { 2 } - x + 2 } \\ { ( 11 ) \quad x ^ { 3 } + 13 x ^ { 2 } + 32 x + 20 } \end{array} \right.

Answer»

(1) x^3-2x^2-x+2=x^2(x-2)-1(x-2)=(x^2-1)(x-2)=(x+1)(x-1)(x-2)

(2) x^3+13x^2+32x+20=x^3+x^2+12x^2+12x+20x+20=x^2(x+1)+12x(x+1)+20(x+1)=(x^2+ 12x+20)(x+1)=(x+1)(x+2)(x+10)