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Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2015 Saudi Arabia Pre-TST
3.2
3.2
Part of
2015 Saudi Arabia Pre-TST
Problems
(1)
(X^2-12X +11)^4+23 not product of 3 integer polynomials
Source: 2015 Saudi Arabia Pre-TST 3.2
9/12/2020
Prove that the polynomial
P
(
X
)
=
(
X
2
ā
12
X
+
11
)
4
+
23
P(X) = (X^2-12X +11)^4+23
P
(
X
)
=
(
X
2
ā
12
X
+
11
)
4
+
23
can not be written as the product of three non-constant polynomials with integer coefficients.(Le Anh Vinh)
polynomial
Integer Polynomial
algebra