The determinant \[\left| \,\begin{matrix} 4+{{x}^{2}} & -6 & -2 \\ -6 & 9+{{x}^{2}} & 3 \\ -2 & 3 & 1+{{x}^{2}} \\ \end{matrix}\, \right|\] is not divisible by [J & K 2005]

The determinant \[\left| \,\begin{matrix} 4+{{x}^{2}} & -6 & -2

1.	The determinant \[\left\| \,\begin{matrix} 4+{{x}^{2}} & -6 & -2 \\ -6 & 9+{{x}^{2}} & 3 \\ -2 & 3 & 1+{{x}^{2}} \\ \end{matrix}\, \right\|\] is not divisible by [J & K 2005]
A.	x
B.	\[{{x}^{3}}\]
C.	\[14+{{x}^{2}}\]
D.	\[{{x}^{5}}\]
Answer» D. \[{{x}^{5}}\]

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The determinant \[\left| \,\begin{matrix} 4+{{x}^{2}} & -6 & -2 \\ -6 & 9+{{x}^{2}} & 3 \\ -2 & 3 & 1+{{x}^{2}} \\ \end{matrix}\, \right|\] is not divisible by [J & K 2005]

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