Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The polynomial
p
(
x
)
=
3
x
3
+
k
x
2
+
5
x
+
m
p(x)=3x^{3}+kx^{2}+5x+m
p
(
x
)
=
3
x
3
+
k
x
2
+
5
x
+
m
leaves a remainder
4
4
4
when divided by
x
−
2
x-2
x
−
2
and a remainder
−
5
-5
−
5
when divided by
x
+
1
x+1
x
+
1
. Which ordered pair
(
k
,
m
)
(k,m)
(
k
,
m
)
satisfies these conditions? a)
(
11
,
−
14
)
(11,\,-14)
(
11
,
−
14
)
b)
(
−
9
,
12
)
(-9,\,12)
(
−
9
,
12
)
c)
(
−
11
,
14
)
(-11,\,14)
(
−
11
,
14
)
d)
(
−
9
,
6
)
(-9,\,6)
(
−
9
,
6
)
Browse the problem library