Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The polynomial
r
(
x
)
=
3
x
4
+
m
x
3
+
n
x
2
+
5
x
−
2
r(x)=3x^{4}+mx^{3}+nx^{2}+5x-2
r
(
x
)
=
3
x
4
+
m
x
3
+
n
x
2
+
5
x
−
2
is exactly divisible by both
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
. Find the ordered pair
(
m
,
n
)
(m,n)
(
m
,
n
)
. a)
(
7
,
−
1
)
(7,-1)
(
7
,
−
1
)
b)
(
−
8
,
2
)
(-8,2)
(
−
8
,
2
)
c)
(
1
,
−
7
)
(1,-7)
(
1
,
−
7
)
d)
(
−
5
,
−
1
)
(-5,-1)
(
−
5
,
−
1
)
Browse the problem library