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2017 Kürschák Competition
2
2
Part of
2017 Kürschák Competition
Problems
(1)
p^3-q^2 is linear
Source: Kürschák 2017 Problem 2
10/6/2017
Do there exist polynomials
p
(
x
)
p(x)
p
(
x
)
and
q
(
x
)
q(x)
q
(
x
)
with real coefficients such that
p
3
(
x
)
−
q
2
(
x
)
p^3(x)-q^2(x)
p
3
(
x
)
−
q
2
(
x
)
is linear but not constant?
Polynomials
algebra
polynomial