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Mathematics
Problem
State the conditions that integers
r
r
r
and
s
s
s
must satisfy so that the quadratic polynomial
x
2
+
b
x
+
c
x^2 + bx + c
x
2
+
b
x
+
c
can be written in the form
(
x
+
r
)
(
x
+
s
)
(x + r)(x + s)
(
x
+
r
)
(
x
+
s
)
.
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