Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
x
2
+
p
x
+
1
x^2+px+1
x
2
+
p
x
+
1
is a factor of
a
x
3
+
b
x
+
c
ax^3+bx+c
a
x
3
+
b
x
+
c
, then: (a)
a
2
+
c
2
=
−
a
b
a^2+c^2=-ab
a
2
+
c
2
=
−
ab
(b)
a
2
+
c
2
=
a
b
a^2+c^2=ab
a
2
+
c
2
=
ab
(c)
a
2
−
c
2
=
a
b
a^2-c^2=ab
a
2
−
c
2
=
ab
(d)
a
2
−
c
2
=
−
a
b
a^2-c^2=-ab
a
2
−
c
2
=
−
ab
Browse the problem library