If \( a^{2}+b^{2}+c^{2}=-2 \), and
\[
f(x)=\left|\begin{array}{ccc}... VIDEO
If \( a^{2}+b^{2}+c^{2}=-2 \), and
\[
f(x)=\left|\begin{array}{ccc}
1+a^{2} x & \left(1+b^{2}\right) x & \left(1+c^{2}\right) x \\
\left(1+a^{2}\right) x & 1+b^{2} x & \left(1+c^{2}\right) x \\
\left(1+a^{2}\right) x & \left(1+b^{2}\right) x & 1+c^{2} x
\end{array}\right|,
\]
- then \( f(x) \) is a polynomial of degree
(a) 0
(b) 1
(c) 2
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