exam Maths Puzzle Numerical Ability

We have been trying to figure this out and I fear we are over-thinking it. Therefore making it much more complicated than it actually is..Please help.

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exam Other Question

Find a fourth-degree polynomial equation with integer coefficients that has the given numbers as roots.

The given numbers are 3+ i and -2i
Graph a line through(-4,1) that is perpendicular to a line whose slope is -3/2.