Let f(x),g(x) and h(x) be polynomials of degree 4 and satisfy the equation ∣∣∣∣f(x)g(x)h(x)abcpqr∣∣∣∣=lx4+mx3+nx2+4x+1 where a,b,c,p,q,r,l,m,n are real constants. Then the value of ∣∣∣∣f′′′(0)−f′′(0)g′′′(0)−g′′(0)h′′′(0)−h′′(0)abcpqr∣∣∣∣ is

Let f(x),g(x) and h(x) be polynomials of degree 4 and satisfy the equa

1.	Let f(x),g(x) and h(x) be polynomials of degree 4 and satisfy the equation ∣∣∣∣f(x)g(x)h(x)abcpqr∣∣∣∣=lx4+mx3+nx2+4x+1 where a,b,c,p,q,r,l,m,n are real constants. Then the value of ∣∣∣∣f′′′(0)−f′′(0)g′′′(0)−g′′(0)h′′′(0)−h′′(0)abcpqr∣∣∣∣ is
Answer» Let $f (x), g (x)$ and $h (x)$ be polynomials of degree $4$ and satisfy the equation $∣ ∣∣ ∣ \begin{matrix} f (x) & g (x) & h (x) a & b & c p & q & r \end{matrix} ∣ ∣∣ ∣ = l x^{4} + m x^{3} + n x^{2} + 4 x + 1$ where $a, b, c, p, q, r, l, m, n$ are real constants. Then the value of $∣ ∣∣ ∣ \begin{matrix} f^{'''} (0) - f^{''} (0) & g^{'''} (0) - g^{''} (0) & h^{'''} (0) - h^{''} (0) a & b & c p & q & r \end{matrix} ∣ ∣∣ ∣$ is