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Mathematics
Mathematics
Problem
If
(
x
+
a
)
(x+a)
(
x
+
a
)
is a factor of the polynomials
x
2
+
p
x
+
q
x^2 + px + q
x
2
+
p
x
+
q
and
x
2
+
m
x
+
n
x^2 + mx + n
x
2
+
m
x
+
n
, prove that
a
=
n
−
q
m
−
p
a = \frac{n - q}{m - p}
a
=
m
−
p
n
−
q
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