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Problem
Problem
If
D
=
4
(
a
2
−
3
b
)
>
0
D = 4(a^2 - 3b) > 0
D
=
4
(
a
2
−
3
b
)
>
0
and
f
(
x
1
)
⋅
f
(
x
2
)
>
0
f(x_1) \cdot f(x_2) > 0
f
(
x
1
)
⋅
f
(
x
2
)
>
0
where
x
1
,
x
2
x_1, x_2
x
1
,
x
2
are the roots of
f
′
(
x
)
f'(x)
f
′
(
x
)
, then a.
f
(
x
)
f(x)
f
(
x
)
has all real and distinct roots b.
f
(
x
)
f(x)
f
(
x
)
has three real roots but one of the roots would be repeated c.
f
(
x
)
f(x)
f
(
x
)
would have just one real root d. None of the above
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