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Mathematics
Problem
The polynomial
g
(
x
)
=
2
x
3
−
x
2
−
18
x
+
9
g(x)=2x^{3}-x^{2}-18x+9
g
(
x
)
=
2
x
3
−
x
2
−
18
x
+
9
is divisible by
(
x
−
3
)
(x-3)
(
x
−
3
)
. Which of the following lists all the zeros of
g
(
x
)
g(x)
g
(
x
)
? a)
3
,
1
,
−
3
2
3, 1, -\dfrac{3}{2}
3
,
1
,
−
2
3
b)
3
,
1
2
,
−
3
3, \dfrac{1}{2}, -3
3
,
2
1
,
−
3
c)
3
,
−
1
,
−
3
2
3, -1, -\dfrac{3}{2}
3
,
−
1
,
−
2
3
d)
3
,
1
2
,
−
3
2
3, \dfrac{1}{2}, -\dfrac{3}{2}
3
,
2
1
,
−
2
3
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