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Mathematics
Mathematics
Problem
The polynomial
p
(
x
)
=
x
3
+
h
x
2
−
9
x
+
2
p(x)=x^{3}+hx^{2}-9x+2
p
(
x
)
=
x
3
+
h
x
2
−
9
x
+
2
is exactly divisible by
(
x
−
1
)
(x-1)
(
x
−
1
)
. Find the value of
h
h
h
.
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