If \( f(x), g(x) \) and \( h(x) \) are three polynomials of degree ...

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If \( f(x), g(x) \) and \( h(x) \) are three polynomials of degree 2 and
P \( \Delta(x)=\left|\begin{array}{ccc}f(x) & g(x) & h(x) \\ f^{\prime}(x) & g^{\prime}(x) & h^{\prime}(x) \\ f^{\prime \prime}(x) & g^{\prime \prime}(x) & h^{\prime \prime}(x)\end{array}\right| \), then \( \Delta(x) \) is a polynomial of degree (dashes denote

W the differentiation).
(a) 2
(b) 3
(c) 0
(d) atmost 3
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