Choice B is the correct answer. The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

1. Set the first factor to zero: $x - 3 = 0 \Rightarrow x = 3$.
2. Set the second factor to zero: $x + 2 = 0 \Rightarrow x = -2$.

The roots are 3 and -2.

Choice A is incorrect because the signs are flipped. This is a very common error. Choice C is incorrect because $x+2=0$ implies $x=-2$, not 2. Choice D is incorrect because $x-3=0$ implies $x=3$, not -3.