Let f(x) and g(x) are polynomial of degree 4 such that g(α)=g′( – InterviewSolution

1.	Let f(x) and g(x) are polynomial of degree 4 such that g(α)=g′(α)=g′′(α)=0. If limx→αf(x)g(x)=0, then number of different real solutions of equation f(x)g′(x)+g(x)f′(x)=0 is equal to
Answer» Let $f (x)$ and $g (x)$ are polynomial of degree 4 such that $g (α) = g^{'} (α) = g^{''} (α) = 0$ . If $l i m x \to α \frac{f (x)}{g (x)} = 0,$ then number of different real solutions of equation $f (x) g^{'} (x) + g (x) f^{'} (x) = 0$ is equal to

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