If \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a ...
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If \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^{2} & a x & a\end{array}\right| \) then \( f(2 x)-f(x) \)
is divisible by
(a) \( x \)
(b) \( a \)
(c) \( 2 a+3 x \)
(d) \( x^{2} \)
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