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Latvia BW TST
2017 Latvia Baltic Way TST
4
4
Part of
2017 Latvia Baltic Way TST
Problems
(1)
P(x) = 2x^3-30x^2+cx , for consecutive integers it takes consecutive values
Source: 2017 Latvia BW TST P4
12/18/2022
The values of the polynomial
P
(
x
)
=
2
x
3
ā
30
x
2
+
c
x
P(x) = 2x^3-30x^2+cx
P
(
x
)
=
2
x
3
ā
30
x
2
+
c
x
for any three consecutive integers are also three consecutive integers. Find these values.
algebra
polynomial
consecutive