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Problem
Problem
Consider the cubic
f
(
x
)
=
8
x
3
+
4
a
x
2
+
2
b
x
+
a
f(x) = 8x^3 + 4ax^2 + 2bx + a
f
(
x
)
=
8
x
3
+
4
a
x
2
+
2
b
x
+
a
where
a
,
b
∈
R
a, b \in \mathbb{R}
a
,
b
∈
R
. If the sum of the base 2 logarithms of the roots of the cubic
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
is 5, then the value of
a
a
a
is a. -64 b. -8 c. -128 d. -256
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