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Mathematics
Mathematics
Problem
The cubic polynomial
p
(
x
)
=
x
3
+
a
x
2
+
b
x
+
6
p(x)=x^{3}+ax^{2}+bx+6
p
(
x
)
=
x
3
+
a
x
2
+
b
x
+
6
has both
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
as factors. Which ordered pair
(
a
,
b
)
(a,b)
(
a
,
b
)
satisfies this condition? a)
(
2
,
5
)
(2,5)
(
2
,
5
)
b)
(
−
2
,
5
)
(-2,5)
(
−
2
,
5
)
c)
(
−
2
,
−
5
)
(-2,-5)
(
−
2
,
−
5
)
d)
(
0
,
−
7
)
(0,-7)
(
0
,
−
7
)
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