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Mathematics
Mathematics
Problem
Find the value of
k
k
k
if both
(
x
−
2
)
(x-2)
(
x
−
2
)
and
(
x
+
1
)
(x+1)
(
x
+
1
)
are factors of the polynomial
p
(
x
)
=
2
x
3
+
(
k
−
1
)
x
2
−
(
k
+
5
)
x
+
6
p(x)=2x^3 + (k-1)x^2 - (k+5)x + 6
p
(
x
)
=
2
x
3
+
(
k
−
1
)
x
2
−
(
k
+
5
)
x
+
6
.
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