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Mathematics
Problem
Determine the value of
k
k
k
for which the polynomial
f
(
x
)
=
3
x
3
+
k
x
2
−
4
x
−
12
f(x)=3x^{3}+kx^{2}-4x-12
f
(
x
)
=
3
x
3
+
k
x
2
−
4
x
−
12
is exactly divisible by
(
x
−
2
)
(x-2)
(
x
−
2
)
. a)
k
=
1
k=1
k
=
1
b)
k
=
−
5
k=-5
k
=
−
5
c)
k
=
−
1
k=-1
k
=
−
1
d)
k
=
7
k=7
k
=
7
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