three zeroes of a fifth degree polynomial function are 1/3,4-6i, and -2+11i. determine the remaining zeroes of the function

Question

The answers are 4+6i,-2-11i, -1/3,4+6i,2+11i, -4+6i,2-11i, and 3,4+6i,-2-11i

Answer 1

Complex zeroes are always in conjugate pairs: so 4-6i is paired with 4+6i, and -2+11i is paired with -2-11i.

This is option 1 (there are only 2 remaining zeroes because 3 were given).