Determine in C [ X ] {\displaystyle {}\mathbb {C} [X]} , using the Euclidean algorithm, the greatest common divisor of the polynomials X 3 + ( 2 − i ) X 2 + 4 {\displaystyle {}X^{3}+(2-{\mathrm {i} })X^{2}+4} and ( 3 − i ) X 2 + 5 X − 3 {\displaystyle {}(3-{\mathrm {i} })X^{2}+5X-3} .
![{\displaystyle {}\mathbb {C} [X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bc5a91ede960f75df1b6b90029496a19f3b38d14)
