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Problem
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a polynomial with real coefficients satisfies
f
(
x
)
=
f
′
(
x
)
×
f
′
′
′
(
x
)
f(x) = f'(x) \times f'''(x)
f
(
x
)
=
f
′
(
x
)
×
f
′′′
(
x
)
. If
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
satisfies
x
=
1
,
2
,
3
x = 1, 2, 3
x
=
1
,
2
,
3
only, then the value of
f
′
(
1
)
×
f
′
(
2
)
×
f
′
(
3
)
f'(1) \times f'(2) \times f'(3)
f
′
(
1
)
×
f
′
(
2
)
×
f
′
(
3
)
is equal to a. positive b. negative c. 0 d. inadequate data
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