MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
Moldova Team Selection Test
2004 Moldova Team Selection Test
10
Polynomial Equation
Polynomial Equation
Source: MOP 2005 Homework - Blue Group #3
May 18, 2014
algebra
polynomial
algebra unsolved
Problem Statement
Determine all polynomials
P
(
x
)
P(x)
P
(
x
)
with real coeffcients such that
(
x
3
+
3
x
2
+
3
x
+
2
)
P
(
x
−
1
)
=
(
x
3
−
3
x
2
+
3
x
−
2
)
P
(
x
)
(x^3+3x^2+3x+2)P(x-1)=(x^3-3x^2+3x-2)P(x)
(
x
3
+
3
x
2
+
3
x
+
2
)
P
(
x
−
1
)
=
(
x
3
−
3
x
2
+
3
x
−
2
)
P
(
x
)
.
Back to Problems
View on AoPS