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10
2015 Algebra #10
2015 Algebra #10
Source:
July 1, 2022
2015
Algebra Test
Problem Statement
The polynomial
f
(
x
)
=
x
3
−
4
3
x
2
+
13
x
−
2
3
f(x)=x^3-4\sqrt{3}x^2+13x-2\sqrt{3}
f
(
x
)
=
x
3
−
4
3
x
2
+
13
x
−
2
3
has three real roots,
a
a
a
,
b
b
b
, and
c
c
c
. Find
max
{
a
+
b
−
c
,
a
−
b
+
c
,
−
a
+
b
+
c
}
.
\max\{a+b-c,a-b+c,-a+b+c\}.
max
{
a
+
b
−
c
,
a
−
b
+
c
,
−
a
+
b
+
c
}
.
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