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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
x
4
−
2
x
2
+
1
p(x)=x^4-2x^2+1
p
(
x
)
=
x
4
−
2
x
2
+
1
and
q
(
x
)
=
−
x
4
+
5
x
2
−
4
q(x)=-x^4+5x^2-4
q
(
x
)
=
−
x
4
+
5
x
2
−
4
. Define
r
(
x
)
=
p
(
x
)
+
q
(
x
)
r(x)=p(x)+q(x)
r
(
x
)
=
p
(
x
)
+
q
(
x
)
. What is the maximum possible number of distinct real zeros of
r
(
x
)
r(x)
r
(
x
)
? a)
4
4
4
b)
0
0
0
c)
2
2
2
d)
1
1
1
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