If \( a b c \neq 0 \), then
\[
\Delta(x)=\left|\begin{array}{ccc}
a... VIDEO
If \( a b c \neq 0 \), then
\[
\Delta(x)=\left|\begin{array}{ccc}
a^{2}(1+x) & a b & a c \\
a b & b^{2}(1+x) & b c \\
a c & b c & c^{2}(1+x)
\end{array}\right|
\]
is divisible by
(a) \( 3+x \)
(b) \( x \)
(c) \( x^{2} \)
(d) \( (1+x)^{2} \)
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