Find the monic third degree polynomial function that has $4$4, $-3i$−3i and $3i$3i as zeros.

The polynomial $P\left(x\right)=x^3-7x^2+17x-15$P(x)=x3−7x2+17x−15 has a zero at $x=3$x=3. Solve for the other zeros of $P\left(x\right)$P(x).

Given that the equation $x^3-216=0$x3−216=0 has a solution $x=6$x=6, find the remaining solutions.

Given that the equation $2x^3=-54$2x3=−54 has a solution $x=-3$x=−3, find the remaining solutions.

Manipulate complex numbers and present them graphically

Apply the algebra of complex numbers in solving problems