Mathematics - Application of Derivative Question with Solution | TestHub

Let$P\left(x\right)$be a real polynomial of degree$3$which vanishes at$x=-3$. Let$P\left(x\right)$have local minima at$x=1$, local maxima at$x=-1$and${\int }_{-1}^{1}P\left(x\right)dx=18$, then the sum of all the coefficients of the polynomial$P\left(x\right)$is equal to ___ .