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

Degree 4; zeros: i, 14+i

what are the remaining zeros of f

Degree 4 = > four roots (zeros).

Now, use the complex conjugate root theorem.

It states that if a polynomial with real coefficients has complex root a + bi then its complex conjugate a - bi is also a root of the polynomial.

The conjugate of i is - iand the conjugate of 14 + 1 is 14 - i, then it follows that those are the remaining zeros.

Answer: - i and 14 - i