Answer:
1) 6
2) -3 + 4i
3) -3 - 4i
4) 4 - √3
5) 4 + √3
Step-by-step explanation:
A polynomial function of degree 5 means that the highest exponent in this polynomial is 5 and there will be total 5 zeroes or roots.
We are given zeroes of a polynomial,
1) 6
2) -3 + 4i
3) 4 - √3
Where 6 is the real root, -3 + 4i is the complex root and 4 - √3 is an irrational root.
The complex roots always exist in conjugate pairs.
-3 + 4i and -3 - 4i
The irrational roots are also always exist in conjugate pairs.
4 - √3 and 4 + √3
Therefore, all 5 zeroes of the given polynomial function of degree 5 are;
1) 6
2) -3 + 4i
3) -3 - 4i
4) 4 - √3
5) 4 + √3
