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A4
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2011 PUMaC Algebra A4
Source:
September 24, 2019
algebra
Problem Statement
Suppose the polynomial
x
3
ā
x
2
+
b
x
+
c
x^3 - x^2 + bx + c
x
3
ā
x
2
+
b
x
+
c
has real roots
a
,
b
,
c
a, b, c
a
,
b
,
c
. What is the square of the minimum value of
a
b
c
abc
ab
c
?
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