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Mathematics
Problem
The polynomial
f
(
x
)
=
x
3
+
a
x
2
+
b
x
+
6
f(x)=x^{3}+ax^{2}+bx+6
f
(
x
)
=
x
3
+
a
x
2
+
b
x
+
6
has
x
−
2
x-2
x
−
2
as a factor and leaves a remainder
10
10
10
when divided by
x
+
1
x+1
x
+
1
. Find the values of
a
a
a
and
b
b
b
.
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