MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1980 AMC 12/AHSME
28
Polynomial Divisiblity
Polynomial Divisiblity
Source:
January 2, 2006
algebra
polynomial
Problem Statement
The polynomial
x
2
n
+
1
+
(
x
+
1
)
2
n
x^{2n}+1+(x+1)^{2n}
x
2
n
+
1
+
(
x
+
1
)
2
n
is not divisible by
x
2
+
x
+
1
x^2+x+1
x
2
+
x
+
1
if
n
n
n
equals
(A)
17
(B)
20
(C)
21
(D)
64
(E)
65
\text{(A)} \ 17 \qquad \text{(B)} \ 20 \qquad \text{(C)} \ 21 \qquad \text{(D)} \ 64 \qquad \text{(E)} \ 65
(A)
17
(B)
20
(C)
21
(D)
64
(E)
65
Back to Problems
View on AoPS