Which of the following is the quotient?

The correct answer is A. 

In order to solve problems that include dividing two fractions, simply flip the second fraction and then multiply straight across. 

So, the top part of your answer will be the numerator from the first fraction multiplied by the denominator of your second:
(x + 2)2x = 2x^2 + 4x

And the bottom of your answer will be the denominator of the first fraction multiplied by the numerator of the second. 
(x - 1)3 = 3x - 3

That will give you your answer.