Polynome/C/Brechne (4+i)X^3-iX^2+2X+(3+2i) mal (2-i)X^3+(3-5i)X^2+(2+i)X+(1+5i)/Aufgabe

Berechne im Polynomring ${}{\mathbb {C} }[X]$ das Produkt

{\left((4+{\mathrm {i} })X^{3}-{\mathrm {i} }X^{2}+2X+3+2{\mathrm {i} }\right)}\cdot {\left((2-{\mathrm {i} })X^{3}+(3-5{\mathrm {i} })X^{2}+(2+{\mathrm {i} })X+1+5{\mathrm {i} }\right)}.