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Mathematics
Problem
The polynomial
p
(
x
)
=
2
x
3
+
a
x
2
+
b
x
−
4
p(x)=2x^3+ax^2+bx-4
p
(
x
)
=
2
x
3
+
a
x
2
+
b
x
−
4
is divisible by both
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
1
)
(x+1)
(
x
+
1
)
. What is the ordered pair
(
a
,
b
)
(a,b)
(
a
,
b
)
? a)
(
−
4
,
2
)
(-4,2)
(
−
4
,
2
)
b)
(
4
,
2
)
(4,2)
(
4
,
2
)
c)
(
4
,
−
2
)
(4,-2)
(
4
,
−
2
)
d)
(
2
,
0
)
(2,0)
(
2
,
0
)
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