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Mathematics
Problem
Consider the polynomial
p
(
x
)
=
3
x
3
+
k
x
2
+
m
x
+
1
p(x)=3x^{3}+kx^{2}+mx+1
p
(
x
)
=
3
x
3
+
k
x
2
+
m
x
+
1
. The remainder obtained on dividing
p
(
x
)
p(x)
p
(
x
)
by
x
−
1
x-1
x
−
1
is
5
5
5
, whereas the remainder obtained on dividing it by
x
+
2
x+2
x
+
2
is
−
7
-7
−
7
. What is the value of
m
m
m
? a)
6
6
6
b)
−
6
-6
−
6
c)
−
2
-2
−
2
d)
4
4
4
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