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Mathematics
Mathematics
Problem
If
a
2
+
b
2
+
c
2
=
−
2
a^2 + b^2 + c^2 = -2
a
2
+
b
2
+
c
2
=
−
2
and
f
(
x
)
=
∣
1
+
a
2
x
(
1
+
b
2
)
x
(
1
+
c
2
)
x
(
1
+
a
2
)
x
1
+
b
2
x
1
+
c
2
x
(
1
+
a
2
)
x
(
1
+
b
2
)
x
1
+
c
2
x
∣
,
f(x) = \begin{vmatrix} 1+a^2x & (1+b^2)x & (1+c^2)x \\ (1+a^2)x & 1+b^2x & 1+c^2x \\ (1+a^2)x & (1+b^2)x & 1+c^2x \end{vmatrix},
f
(
x
)
=
1
+
a
2
x
(
1
+
a
2
)
x
(
1
+
a
2
)
x
(
1
+
b
2
)
x
1
+
b
2
x
(
1
+
b
2
)
x
(
1
+
c
2
)
x
1
+
c
2
x
1
+
c
2
x
,
then
f
(
x
)
f(x)
f
(
x
)
is a polynomial of degree a. 0 b. 1 c. 2 d. 3
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