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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
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Compute in the
polynomial ring
C
[
X
]
{\displaystyle {}\mathbb {C} [X]}
the product
(
(
4
+
i
)
X
3
−
i
X
2
+
2
X
+
3
+
2
i
)
⋅
(
(
2
−
i
)
X
3
+
(
3
−
5
i
)
X
2
+
(
2
+
i
)
X
+
1
+
5
i
)
.
{\displaystyle ((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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