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Mathematics
Problem
Suppose
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x) = ax^2 + bx + c
f
(
x
)
=
a
x
2
+
b
x
+
c
. Find
a
a
a
,
b
b
b
, and
c
c
c
if
f
(
0
)
=
5
f(0) = 5
f
(
0
)
=
5
,
f
(
−
2
)
=
21
f(-2) = 21
f
(
−
2
)
=
21
, and
f
(
3
)
=
−
4
f(3) = -4
f
(
3
)
=
−
4
.
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