occur in conjugate pairs, so yes this is right.
You have two factors of your cubic (z-(2+3i)), and (z-(2-3i)). If you multiplyb) Hence find a quadratic factor of the left hand side of the equation
these together you will get a quadratic factor of the cubic with real coefficients.
This is the quadratic factor you are looking for here.
Use polynomial long division of your cubic by your quadratic factor to findc) Find the third solution.
the remaining linear factor (it can also be done by inspection). This will
be a real linear factor and from it you can find the third root of the