Use the Factor Theorem to find the real numberksuch that (z–k) is a factor of z^3 + (-6 + 2j) z ^2 + (12 - 15j) z + (-9+27j)

Hence write z^3 + (-6 + 2j) z ^2 + (12 - 15j) z + (-9+27j) as the product of two factors.

Find all the solutions of the equation z^3 + (-6 + 2j) z ^2 + (12 - 15j) z + (-9+27j).