If a2-b2-c2 - -2 and fx - 1-a2x 1-b2x 1-c2x 1-a2x 1-b2x 1-c2x 1-a2x 1-b2x 1-c2x then fx is a polynomial of degree

ApplyingC_1 → C_1+C_2+C_3 f(x) = 1 amp;(1+b^2)x amp;(1+c^2)x 1 amp;1+b^2x amp;(1+c^2)x 1 amp;(1+b^2)x amp;1+c^2x , (∵ a^2+b^2+c^2+2=0) [ApplyingR ...

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Properties of Determinants

If a2+b2+c2 =...

Question

If $a^{2} + b^{2} + c^{2} = - 2$ and $f (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 + a^{2} x & (1 + b^{2}) x & (1 + c^{2}) x (1 + a^{2}) x & 1 + b^{2} x & (1 + c^{2}) x (1 + a^{2}) x & (1 + b^{2}) x & 1 + c^{2} x \end{matrix} ∣ ∣ ∣ ∣ ∣$ then f(x) is a polynomial of degree

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