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2018 PUMaC Live Round
7.1
2018 PUMaC Live Round 7.1
2018 PUMaC Live Round 7.1
Source:
January 13, 2019
Live Round
PuMAC
algebra
polynomial
Problem Statement
Find the number of nonzero terms of the polynomial
P
(
x
)
P(x)
P
(
x
)
if
x
2018
+
x
2017
+
x
2016
+
x
999
+
1
=
(
x
4
+
x
3
+
x
2
+
x
+
1
)
P
(
x
)
.
x^{2018}+x^{2017}+x^{2016}+x^{999}+1=(x^4+x^3+x^2+x+1)P(x).
x
2018
+
x
2017
+
x
2016
+
x
999
+
1
=
(
x
4
+
x
3
+
x
2
+
x
+
1
)
P
(
x
)
.
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