Polynomial must contain (x+3)², x-2i. We need a complement of x-2i, which is x+2i so the product of these complex factors is x²+4. One example is (x+3)²(x²+4) which expands to:
(x²+6x+9)(x²+4)=
x⁴+6x³+9x²+4x²+24x+36=
x⁴+6x³+13x²+24x+36, and any multiple of this.