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Mathematics
Mathematics
Problem
If
(
x
3
+
a
x
2
+
b
x
+
6
)
(x^3 + ax^2 + bx + 6)
(
x
3
+
a
x
2
+
b
x
+
6
)
has
(
x
−
2
)
(x-2)
(
x
−
2
)
as a factor and leaves a remainder 3 when divided by
(
x
−
3
)
(x-3)
(
x
−
3
)
, find the values of
a
a
a
and
b
b
b
.
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