Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
P
(
x
)
P(x)
P
(
x
)
is polynomial satisfying
P
(
x
2
)
=
x
2
P
(
x
)
P(x^2) = x^2 P(x)
P
(
x
2
)
=
x
2
P
(
x
)
and
P
(
0
)
=
−
2
,
P
′
(
3
/
2
)
=
0
P(0) = -2, P'(3/2) = 0
P
(
0
)
=
−
2
,
P
′
(
3/2
)
=
0
and
P
(
1
)
=
0
P(1) = 0
P
(
1
)
=
0
. The maximum value of
P
(
x
)
P(x)
P
(
x
)
is a.
−
1
3
-\frac{1}{3}
−
3
1
b.
−
1
4
-\frac{1}{4}
−
4
1
c.
−
1
2
-\frac{1}{2}
−
2
1
d. None of these
Browse the problem library