Firstly, , so arguably is still a poly with complex coefficients.
But even if we exclude this bit of pedantry, obviously is a poly with complex coefficients.
To get around that, let's insist that our poly is monic. Then what about . At a minimum, this has (a pair of) roots that come in conjugate pairs; arguably, *all* of its roots come in conjugate pairs (if you say that the only *roots* are x = i, x = -i).
It's probably one of those questions where you really need to ask the OP why they're asking.
- Study Helper