Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let be a polynomial of degree 4 such that
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
P
(
x
)
P(x)
P
(
x
)
be a polynomial of degree 4 such that
P
(
1
)
=
P
(
3
)
=
P
(
5
)
=
P
(
7
)
=
0
P(1) = P(3) = P(5) = P(7) = 0
P
(
1
)
=
P
(
3
)
=
P
(
5
)
=
P
(
7
)
=
0
. If the real number
x
≠
1
,
3
,
5
x \neq 1, 3, 5
x
=
1
,
3
,
5
is such that
P
(
x
)
=
0
P(x) = 0
P
(
x
)
=
0
can be expressed as
x
=
p
q
x = \frac{p}{q}
x
=
q
p
, where
p
p
p
and
q
q
q
are relatively prime, then
(
p
−
8
q
)
(p - 8q)
(
p
−
8
q
)
is .....
Related theory
Polynomials
Polynomial Functions
Zeroes of a polynomial
Browse the problem library