Answer
The remaining zeros are:
$\color{blue}{\bf-i, 1-i}$
Work Step by Step
RECALL:
If $a+bi$ is a zero of a polynomial function with a real number of coefficients, then its conjugate, $a-bi$, is also a zero of the function.
Thus, the missing zeros of the given function are the conjugates of $i$ and $1+i$, which are:
$\color{blue}{\bf-i \text{ and } 1-i}.$