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Miklós Schweitzer
1957 Miklós Schweitzer
9
9
Part of
1957 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1957- Problem 9
Source:
10/18/2015
9. Find all pairs of linear polynomials
f
(
x
)
f(x)
f
(
x
)
,
g
(
x
)
g(x)
g
(
x
)
with integer coefficients for which there exist two polynomials
u
(
x
)
u(x)
u
(
x
)
,
v
(
x
)
v(x)
v
(
x
)
with integer coefficients such that
f
(
x
)
u
(
x
)
+
g
(
x
)
v
(
x
)
=
1
f(x)u(x)+g(x)v(x)=1
f
(
x
)
u
(
x
)
+
g
(
x
)
v
(
x
)
=
1
. (A. 8)
algebra
polynomial
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