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Mathematics
Mathematics
Problem
The polynomial
p
(
x
)
=
x
3
+
3
(
k
−
1
)
x
2
+
3
(
k
−
1
)
2
x
+
(
k
−
1
)
3
−
8
p(x)=x^3+3(k-1)x^2+3(k-1)^2 x+(k-1)^3-8
p
(
x
)
=
x
3
+
3
(
k
−
1
)
x
2
+
3
(
k
−
1
)
2
x
+
(
k
−
1
)
3
−
8
is divisible by
(
x
−
2
)
(x-2)
(
x
−
2
)
. What is the value of
k
k
k
? a)
k
=
0
k=0
k
=
0
b)
k
=
3
k=3
k
=
3
c)
k
=
1
k=1
k
=
1
d)
k
=
2
k=2
k
=
2
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