Answer
$-i$ and $1-i$
Work Step by Step
The Conjugate Pairs Theorem states that when a polynomial has real coefficients, then any complex zeros occur in conjugate pairs. This means that, when $(p +i \ q)$ is a zero of a polynomial function with a real number of the coefficients, then its conjugate $(p –i q)$, is also a zero of the function.
We can notice that the function has degree of $4$, so it has $4$ complex (including real) zeros. Since, two zeros are already given, then we have 2 zeros remaining. These are: $-i$ and $1-i$, the conjugates of $i$ and $1+i$, by the Conjugate Pairs Theorem.
