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4
2016 Team #4
2016 Team #4
Source:
August 17, 2022
2016
team test
Problem Statement
Three roots of the quartic polynomial
f
(
x
)
=
x
4
+
a
x
3
+
b
x
+
c
f(x)=x^4+ax^3+bx+c
f
(
x
)
=
x
4
+
a
x
3
+
b
x
+
c
are
−
1
-1
−
1
,
3
3
3
, and
5
5
5
. What is
a
+
b
−
c
a+b-c
a
+
b
−
c
?
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