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Question 1 · 5 marks
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f
(
z
)
=
z
3
−
5
z
2
+
11
z
−
15
f(z) = z^3 - 5z^2 + 11z - 15
f
(
z
)
=
z
3
−
5
z
2
+
11
z
−
15
.
Given that
z
=
1
+
2
i
z = 1 + 2i
z
=
1
+
2
i
is a root of
f
(
z
)
=
0
f(z) = 0
f
(
z
)
=
0
,
(a)
Write down a second complex root.
1 mark
i
xⁿ
a/b
√
π
(
)