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

- i and 14 - i

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