Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 5 - 5i, 3i

Answer 1

When a complex number (a + bi) is a zero, then it's conjugate (a - bi) must also be a zero.

You are given 2 zeros, so their conjugates will give you the other 2 zeros.

Answer 2

P(x) = (x - 3i)(x + 3i)(x - (5 - 5i))(x - (5 + 5i))