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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
x
3
−
4
x
2
+
(
a
+
2
)
x
−
8
p(x)=x^3-4x^2+(a+2)x-8
p
(
x
)
=
x
3
−
4
x
2
+
(
a
+
2
)
x
−
8
, where
a
a
a
is a real number. a. (i) Evaluate
p
(
2
)
p(2)
p
(
2
)
in terms of
a
a
a
. b. (ii) Given that
x
=
2
x=2
x
=
2
is a zero of
p
(
x
)
p(x)
p
(
x
)
, find the value of
a
a
a
. c. (iii) Using the value of
a
a
a
obtained in part (ii), calculate
p
(
−
1
)
p(-1)
p
(
−
1
)
.
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