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Mathematics
Problem
A cubic polynomial
g
(
x
)
g(x)
g
(
x
)
is exactly divisible first by
(
x
−
2
)
(x-2)
(
x
−
2
)
and then by
(
x
+
1
)
(x+1)
(
x
+
1
)
. What is the degree of the final quotient obtained after these two successive divisions? a)
2
2
2
b)
1
1
1
c)
0
0
0
d)
3
3
3
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