Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
[JEE 2010] Consider the polynomial
f
(
x
)
=
1
+
2
x
+
3
x
2
+
4
x
3
f(x) = 1 + 2x + 3x^2 + 4x^3
f
(
x
)
=
1
+
2
x
+
3
x
2
+
4
x
3
. Let
s
s
s
be the sum of all distinct real roots of
f
(
x
)
f(x)
f
(
x
)
and let
t
=
∣
s
∣
t = |s|
t
=
∣
s
∣
. The real number
s
s
s
lies in the interval (A)
(
−
1
4
,
0
)
\left(-\frac{1}{4}, 0\right)
(
−
4
1
,
0
)
(B)
(
−
11
,
−
3
4
)
\left(-11, -\frac{3}{4}\right)
(
−
11
,
−
4
3
)
(C)
(
−
3
4
,
−
1
2
)
\left(-\frac{3}{4}, -\frac{1}{2}\right)
(
−
4
3
,
−
2
1
)
(D)
(
0
,
1
4
)
\left(0, \frac{1}{4}\right)
(
0
,
4
1
)
Browse the problem library