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Mathematics
Problem
A nonzero polynomial with real coefficients has the property that
f
(
x
)
=
f
′
(
x
)
⋅
f
′
′
(
x
)
f(x)=f'(x)\cdot f''(x)
f
(
x
)
=
f
′
(
x
)
⋅
f
′′
(
x
)
. If
a
a
a
is the leading coefficient of
f
(
x
)
f(x)
f
(
x
)
, then the value of
1
2
a
\frac{1}{2a}
2
a
1
is .....
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