Using the roots $(-5,-1,2,4)$ and turning points $(-4,0),(-2,3),(1,-1),(3,2)$ of the polynomial p$($x$)=3/40($x$+5)($x$+1)($x$-2)($x$-4)$ prove the equation by using antiderivatives to find any constants and derivatives to prove turning points. Use algebra to show ar least four of the points used.