If the distance of the point on \( y=x^{4}+3 x^{2}+2 x \) which is nearest to the line \( y=2 x-...

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If the distance of the point on \( y=x^{4}+3 x^{2}+2 x \) which is nearest to the line \( y=2 x-1 \) is \( p \). Find \( 5 p^{2} \).
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