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Mathematics
Problem
The cubic polynomial
f
(
x
)
=
x
3
−
6
x
2
+
11
x
−
6
f(x)=x^3-6x^2+11x-6
f
(
x
)
=
x
3
−
6
x
2
+
11
x
−
6
is evaluated at
x
=
1
,
2
,
3
x=1,\,2,\,3
x
=
1
,
2
,
3
. Which of the following sets lists all the values of
x
x
x
for which
f
(
x
)
=
0
f(x)=0
f
(
x
)
=
0
? a)
{
1
,
3
}
\{1,\,3\}
{
1
,
3
}
b)
{
0
,
1
,
2
}
\{0,\,1,\,2\}
{
0
,
1
,
2
}
c)
{
1
,
2
,
3
}
\{1,\,2,\,3\}
{
1
,
2
,
3
}
d)
{
2
,
3
}
\{2,\,3\}
{
2
,
3
}
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