Polynomials/C/Compute (4+i)X^3-iX^2+2X+(3+2i) times (2-i)X^3+(3-5i)X^2+(2+i)X+(1+5i)/Exercise

Compute in the polynomial ring ${}\mathbb {C} [X]$ the product

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

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