Answer
The missing zeros are:
$\color{blue}{\bf-i, \space 3+2i, \space \text{and} \space -2-i}$
Work Step by Step
RECALL:
If $a+bi$ is a zero of a polynomial function with real number coefficients, then its conjugate $a-bi$ is also a zero of the function.
The polynomial function has a degree of $6$.
This means it has 6 zeros.
Since complex roots come in conjugate pairs, then the missing zeros of the given function are the conjugates of $i, 3-2i, $ and $-2+i$, which are:
$\color{blue}{\bf-i, 3+2i, -2-i}$