Which of the following is a polynomial with roots
−3√3√−2

a. x^3 – 2x^2 – 3x + 6

b. x^3 + 2x^2 – 3x – 6

c. x^3 – 3x^2 – 5x + 15

d. x^3 + 3x^2 – 5x – 15

 the polynomial has the factor (x-n) 
So any polynomial with these roots, must have the factors (x+sqrt(3))(x-sqrt(3))(x+2) 
Since these are cubic polynomials (highest x term is x^3), these are all the factors, so the polynomial is of the form: 
k(x+sqrt(3))(x-sqrt(3))(x+2) 
And since the x^3 term is 1, the constant k must be 1. 

So, the polynomial must be the one which is equal to: 
(x+sqrt(3))(x-sqrt(3))(x+2) 
Since the constant term (the last term) is different for each of your 4 options, you just need to evaluate the constant term and see which one matches. 
i.e. the answer is whichever polynomial has a constant term equal to 
sqrt(3) times (-sqrt(3)) times 2