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All-Russian Olympiad
1985 All Soviet Union Mathematical Olympiad
400
400
Part of
1985 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 400 All Soviet Union MO 1985 max no integer x so |P(x)|<50, trinomial
Source:
8/5/2019
The senior coefficient
a
a
a
in the square polynomial
P
(
x
)
=
a
x
2
+
b
x
+
c
P(x) = ax^2 + bx + c
P
(
x
)
=
a
x
2
+
b
x
+
c
is more than
100
100
100
. What is the maximal number of integer values of
x
x
x
, such that
∣
P
(
x
)
∣
<
50
|P(x)|<50
∣
P
(
x
)
∣
<
50
.
trinomial
Integer
maximum
polynomial
algebra