x^3 +6x^2 +11x +6 =
x^3 +x^2 +5x^2 +5x +6x +6 =
x^2(x+1) +5x(x+1) +6(x+1) =
(x^2 +5x +6)(x+1) =
(x+3)(x+2)(x+1)