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Three zeroes in a fifth degree polynomial function are 1/3,4-61,and -2+11i

What are the remaining zeroes of the function?
4+6i,-2-11i
-1/3,4+6i,2+11i
-4+6i,2-11i
3, 4+6i,-2-11i

1 Answer

5 votes
The degree of the polynomial is 5, therefore are 5 zeros (real or imaginary).
The given zeros are
1/3, 4 - 6i, and -2 + 11i.

Because complex zeros always occur as conjugate pairs, the remaining complex zeros are
4 + 6i and -2 - 11i.

Answer: 4 + 6i, -2 - 11i.

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