If f(x),g(x)a n dh(x) are three polynomi...

If `f(x),g(x)a n dh(x)` are three polynomials of degree 2, then prove that `varphi(x)=|f(x)g(x)h(x)f^(prime)(x)g^(prime)(x)h^(prime)(x)f^(x)g^(x)h^(x)|i sacon s t a n tpol y nom i a l`

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`P(x)= [[f(x) , g(x), h(x)],[ f^{prime}(x) , g^{prime}(x), h^{prime}(x)], [f^{prime prime}(x), g^{prime prime}(x), h^{prime prime}(x)]]`
`f^{prime}(x)=[[f^{prime}(x) , g^{prime}(x), h^{prime}(x)],[ ...

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