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Mathematics
Mathematics
Problem
For
p
(
x
)
=
x
3
+
p
x
2
+
q
x
+
2
p(x)=x^{3}+px^{2}+qx+2
p
(
x
)
=
x
3
+
p
x
2
+
q
x
+
2
, the remainder is
4
4
4
when
p
(
x
)
p(x)
p
(
x
)
is divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
and the remainder is also
4
4
4
when divided by
(
x
+
1
)
(x+1)
(
x
+
1
)
. Find the values of
p
p
p
and
q
q
q
.
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