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

Question

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

Degree 4

Zeros: 2 - i, i

Choose ONE Answer

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

Answer 1

To have real coefficients, the complex conjugate of any complex zero must also be a zero. Therefore

2 + i

-i

are also zeros.