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Mathematics
Problem
The polynomial
h
(
x
)
=
2
x
3
+
p
x
2
+
q
x
+
r
h(x)=2x^{3}+px^{2}+qx+r
h
(
x
)
=
2
x
3
+
p
x
2
+
q
x
+
r
satisfies the following conditions: (i)
h
(
1
)
=
5
h(1)=5
h
(
1
)
=
5
(ii)
h
(
−
2
)
=
0
h(-2)=0
h
(
−
2
)
=
0
(iii)
h
(
0
)
=
6
h(0)=6
h
(
0
)
=
6
Determine the values of
p
p
p
,
q
q
q
and
r
r
r
.
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