Given a polynomial f(x) with real coefficients and the following information, find the remaining zeros of f(x).

Question

Question 18

1. Given a polynomial f(x) with real coefficients and the following information, find the remaining zeros of f(x).
2. Degree 4
3. Zeros: 2 - i, i
4. Choose ONE Answer

	-2 - i, +i
	2 + i, - i
	none of these
	-2 + i, -i

Answer 1

The complex conjugates of complex zeros must also be zeros (to ensure real coefficients), so the other zeros must be

2 + i

-i

That gives 4 zeros.