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Mathematics
Problem
The cubic polynomial
p
(
x
)
=
x
3
+
a
x
2
+
b
x
+
c
p(x)=x^{3}+ax^{2}+bx+c
p
(
x
)
=
x
3
+
a
x
2
+
b
x
+
c
is divisible by
x
−
2
x-2
x
−
2
and
x
−
3
x-3
x
−
3
and leaves a remainder of
4
4
4
when divided by
x
−
1
x-1
x
−
1
. Find the value of
a
a
a
. a)
−
6
-6
−
6
b)
4
4
4
c)
−
4
-4
−
4
d)
−
2
-2
−
2
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