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Question 1 · 6 marks
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The roots of
x
3
−
4
x
2
+
2
x
+
7
=
0
x^3 - 4x^2 + 2x + 7 = 0
x
3
−
4
x
2
+
2
x
+
7
=
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
=