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Mathematics
Problem
If
x
2
+
p
x
+
1
x^2 + px + 1
x
2
+
p
x
+
1
is a factor of the expression
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. None of these
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