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2021 CHMMC Winter (2021-22)
5
2021-22 Winter Team #5
2021-22 Winter Team #5
Source:
April 17, 2022
algebra
Problem Statement
How many cubics in the form
x
3
−
a
x
2
+
(
a
+
d
)
x
−
(
a
+
2
d
)
x^3 -ax^2 + (a+d)x -(a+2d)
x
3
−
a
x
2
+
(
a
+
d
)
x
−
(
a
+
2
d
)
for integers
a
,
d
a,d
a
,
d
have roots that are all non-negative integers?
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