x³+6x²+11x+6
=x³+6x²+5x+6x+6
=x(x²+6x+5)+6(x+1)
=x(x+5)(x+1)+6(x+1)
=(x+1)[x(x+5)+6]
=(x+1)(x²+5x+6)
=(x+1)(x+2)(x+3)