MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1982 AMC 12/AHSME
12
A Polynomial
A Polynomial
Source:
January 16, 2006
algebra
polynomial
Problem Statement
Let
f
(
x
)
=
a
x
7
+
b
x
3
+
c
x
−
5
f(x) = ax^7+bx^3+cx-5
f
(
x
)
=
a
x
7
+
b
x
3
+
c
x
−
5
, where
a
,
b
a,b
a
,
b
and
c
c
c
are constants. If
f
(
−
7
)
=
7
f(-7) = 7
f
(
−
7
)
=
7
, the
f
(
7
)
f(7)
f
(
7
)
equals
(A)
−
17
(B)
−
7
(C)
14
(D)
21
(E)
not uniquely determined
\textbf {(A) } -17 \qquad \textbf {(B) } -7 \qquad \textbf {(C) } 14 \qquad \textbf {(D) } 21\qquad \textbf {(E) } \text{not uniquely determined}
(A)
−
17
(B)
−
7
(C)
14
(D)
21
(E)
not uniquely determined
Back to Problems
View on AoPS