Let \( p(x) \) be a real polynomial of least degree which has a loc...

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Let \( p(x) \) be a real polynomial of least degree which has a local maximum at \( x=1 \) and a local minimum at \( x=3 \). If
\( \mathrm{P} \) \( p(1)=6 \) and \( p(3)=2 \), then \( p^{\prime}(0) \) is equal to
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