Answer :
We have,
p (x) = 8x3 - ax2 - x + 2
Put x =
p () = 8 (
)3 – a (
)2 – (
) + 2
= 8 × – a ×
+
+ 2
= -1 - +
+ 2
= -
Given that,
x = is a root of p (x)
p () = 0
Therefore,
-
= 0
=
2a = 12
a = 6
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