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Mathematics
Mathematics
Problem
The polynomial
P
(
x
)
=
x
3
+
a
x
2
+
b
x
+
4
P(x)=x^3 + ax^2 + bx + 4
P
(
x
)
=
x
3
+
a
x
2
+
b
x
+
4
leaves remainders
3
3
3
and
1
1
1
when divided by
x
−
1
x-1
x
−
1
and
x
+
1
x+1
x
+
1
respectively. The ordered pair
(
a
,
b
)
(a,b)
(
a
,
b
)
is a)
(
−
1
,
−
1
)
(-1,-1)
(
−
1
,
−
1
)
b)
(
0
,
−
2
)
(0,-2)
(
0
,
−
2
)
c)
(
−
2
,
0
)
(-2,0)
(
−
2
,
0
)
d)
(
−
2
,
1
)
(-2,1)
(
−
2
,
1
)
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