## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$4+i$
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 a degree of $3$, so it has $3$ complex (including real) zeros. Since, two zeros are already given, then the remaining zero is the conjugate of $4-i$, which is $4+i$, by the Conjugate Pairs Theorem.