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Question 1 · 6 marks
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The roots of
2
x
3
+
3
x
2
−
x
+
5
=
0
2x^3 + 3x^2 - x + 5 = 0
2
x
3
+
3
x
2
−
x
+
5
=
0
are
α
\alpha
α
,
β
\beta
β
and
γ
\gamma
γ
.
(a)
Write down the values of
∑
α
\sum\alpha
∑
α
,
∑
α
β
\sum\alpha\beta
∑
α
β
and
α
β
γ
\alpha\beta\gamma
α
β
γ
.
2 marks
∑
α
=
\sum\alpha =
∑
α
=
∑
α
β
=
\sum\alpha\beta =
∑
α
β
=
α
β
γ
=
\alpha\beta\gamma =
α
β
γ
=