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Mathematics
Problem
Let
p
(
x
)
=
2
x
3
+
k
x
2
−
5
x
+
1.
p(x)=2x^{3}+kx^{2}-5x+1.
p
(
x
)
=
2
x
3
+
k
x
2
−
5
x
+
1.
The polynomial leaves the same remainder when divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
and by
(
x
+
2
)
(x+2)
(
x
+
2
)
. Determine
k
k
k
. a)
−
1
-1
−
1
b)
2
2
2
c)
5
4
\frac{5}{4}
4
5
d)
1
1
1
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