Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The polynomial
P
(
x
)
=
2
x
3
+
p
x
2
+
q
x
+
6
P(x)=2x^{3}+px^{2}+qx+6
P
(
x
)
=
2
x
3
+
p
x
2
+
q
x
+
6
is divisible by both
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
. Determine the values of
p
p
p
and
q
q
q
.
Browse the problem library