complex roots, never come all by their lonesome, their sister always comes along, so if there's a root of -3 + 2i, her sister the conjugate is also a root of such polynomial, namely -3 - 2i.
Now, if the -2 root has a multiplicity of 2, that is, is repeated twice, then, you're looking at the two complex roots and the two from the -2 root. So the polynomial will have at least 4 roots, two complex ones and two negative real ones.