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Mathematics
Problem
For the quadratic function
g
(
x
)
=
x
2
+
2
p
x
+
3
p
+
4
g(x)=x^{2}+2px+3p+4
g
(
x
)
=
x
2
+
2
p
x
+
3
p
+
4
, the minimum value of
g
(
x
)
g(x)
g
(
x
)
is
3
3
3
. Determine all real values of
p
p
p
.
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