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9
2016 Algebra #9
2016 Algebra #9
Source:
August 6, 2022
2016
Algebra Test
Problem Statement
Let
P
(
x
)
P(x)
P
(
x
)
be a monic cubic polynomial. The line
y
=
0
y=0
y
=
0
and
y
=
m
y=m
y
=
m
intersect
P
(
x
)
P(x)
P
(
x
)
at points
A
,
C
,
E
A,C,E
A
,
C
,
E
and
B
,
D
<
F
B,D<F
B
,
D
<
F
from left to right for a positive real number
m
m
m
. If
A
B
=
7
AB=\sqrt{7}
A
B
=
7
,
C
D
=
15
CD=\sqrt{15}
C
D
=
15
, and
E
F
=
10
EF=\sqrt{10}
EF
=
10
, what is the value of
m
m
m
?
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