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Mathematics
Problem
The polynomial
2
x
3
+
p
x
2
+
q
x
+
5
2x^{3}+px^{2}+qx+5
2
x
3
+
p
x
2
+
q
x
+
5
leaves the same remainder when divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
. What is the value of
(
p
−
q
)
(p-q)
(
p
−
q
)
? a)
−
6
-6
−
6
b)
3
3
3
c)
6
6
6
d)
0
0
0
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