Moment generating function (find the probability)

The moment generating function of a random variable $$X$$ is given by:

$$M(t) = (1/3^{2k})(7+2e^t)^k, \quad \forall t$$

a) Determine $$P(X = 3)$$

b) Derive the $$r^{th}$$ factorial moment of $$X$$

I assume you must deduce what distribution this is from the mgf, I just have no idea which one it is.