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1970 IMO Longlists
48
48
Part of
1970 IMO Longlists
Problems
(1)
p(x) does not take the value 8 for any integer x [easy one]
Source: IMO LongList 1970 - P48
11/9/2010
Let a polynomial
p
(
x
)
p(x)
p
(
x
)
with integer coefficients take the value
5
5
5
for five different integer values of
x
.
x.
x
.
Prove that
p
(
x
)
p(x)
p
(
x
)
does not take the value
8
8
8
for any integer
x
.
x.
x
.
algebra
polynomial
algebra proposed