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Mathematics
Problem
The polynomial
h
(
x
)
=
x
2
+
k
x
+
m
h(x)=x^2 + kx + m
h
(
x
)
=
x
2
+
k
x
+
m
leaves a remainder
5
5
5
on division by
x
−
1
x-1
x
−
1
and a remainder
2
2
2
on division by
x
+
2
x+2
x
+
2
. Which ordered pair
(
k
,
m
)
(k,m)
(
k
,
m
)
satisfies these conditions? a)
(
1
,
3
)
(1,3)
(
1
,
3
)
b)
(
2
,
2
)
(2,2)
(
2
,
2
)
c)
(
3
,
1
)
(3,1)
(
3
,
1
)
d)
(
6
,
10
)
(6,10)
(
6
,
10
)
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