Complex Zeros: Find the remaining zeros of f

Question

I just need one of my homework questions explained, because I really don’t understand...

”Information is given about a polynomial function f(x) whose coefficients are real numbers. Find the remaining zeros of f.”

Degree 3; zeros: 3, 4 - i

Thank you.

Answer 1

Complex zeros always come in conjugate pairs.

In this case if 4 - i is a zero then 4 + i is one also.