QJEEAdv05Ma5a2f: JEE Advanced 2005 Mathematics - Class 12 JEEAdv05Ma5a2f Solution: If be a polynomial of degree satisfying and has maxima at and…

If $p(x)$ be a polynomial of degree $3$ satisfying $p(-1)=10, p(1)=-6$ and $p(x)$ has maxima at $x=-1$ and $p'(x)$ has minima at $x=1$ . Find the distance between the local maxima and local minima of the curve.