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Mathematics
Mathematics
Problem
Find the integers
m
m
m
and
n
n
n
for which the quadratic polynomial
h
(
x
)
=
x
2
+
m
x
+
n
h(x)=x^{2}+mx+n
h
(
x
)
=
x
2
+
m
x
+
n
is exactly divisible by both
(
x
−
3
)
(x-3)
(
x
−
3
)
and
(
x
+
1
)
(x+1)
(
x
+
1
)
.
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