3d^{2}+23d+14

To factor the equation, you must first list the multiples of 14, which are +/-1 & 14 and +/- 2 & 7. Usually, you would need to only add the multiple pair together and that would give you the number next to the x, but since there is a 3 next to the x^{2}, you must multiply one multiple by 3d and one by d. Try it both ways. If it was (3d+7)(d+2), that would only be 3d2+13d+14. If you switch the 7 and 2 to be
**(3d+2)(d+7),** you will get 3d2+23d+14.