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2016 ASDAN Math Tournament
2
2016 Guts #2
2016 Guts #2
Source:
August 14, 2022
2016
Guts Round
Problem Statement
Let
f
(
x
)
=
a
x
3
+
b
x
2
+
c
x
+
d
f(x)=ax^3+bx^2+cx+d
f
(
x
)
=
a
x
3
+
b
x
2
+
c
x
+
d
be some cubic polynomial. Given that
f
(
1
)
=
20
f(1)=20
f
(
1
)
=
20
and
f
(
ā
1
)
=
16
f(-1)=16
f
(
ā
1
)
=
16
, what is
b
+
d
b+d
b
+
d
?
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