MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Other Middle and High School Contests
Math Prize For Girls Problems
2021 Math Prize for Girls Problems
14
14
Part of
2021 Math Prize for Girls Problems
Problems
(1)
Math Prize 2021 Problem 14
Source:
9/19/2021
Let
S
S
S
be the set of monic polynomials in
x
x
x
of degree 6 all of whose roots are members of the set
{
ā
1
,
0
,
1
}
\{ -1, 0, 1\}
{
ā
1
,
0
,
1
}
. Let
P
P
P
be the sum of the polynomials in
S
S
S
. What is the coefficient of
x
4
x^4
x
4
in
P
(
x
)
P(x)
P
(
x
)
?
Math Prize for Girls