Verified Answer :

\(3x^2+11x+6\)

\((3x^2+2x) + (9x+6)\)

Factor out x  from 

\(3x^2+2x = x(3x+2)\)

Factor out 3  from

\(9x+6 = 3(3x+2)\)

\(= x(3x+2)+3(3x+2)\)

Factor out common  term \((3x+2) :\)

\(=(3x+2)(x+3)\)

hope this helps!