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11
2023 Fall LMT Team #11 8 degree polynomial, f (1) = 16 and f (-1) = 8.
2023 Fall LMT Team #11 8 degree polynomial, f (1) = 16 and f (-1) = 8.
Source:
February 4, 2024
algebra
polynomial
Problem Statement
Find the number of degree
8
8
8
polynomials
f
(
x
)
f (x)
f
(
x
)
with nonnegative integer coefficients satisfying both
f
(
1
)
=
16
f (1) = 16
f
(
1
)
=
16
and
f
(
ā
1
)
=
8
f (-1) = 8
f
(
ā
1
)
=
8
.
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