Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Nonlinear functions

hard

The function $p$ is defined by $p(x)=a((x+4{)}^2-b)((x+4{)}^2-c)$, where $a,b,$ and $c$ are constants. In the $xy$-plane, the graph of $y=p(x)$ passes through the points $(-5,30)$ and $(0,90)$. What is the value of $p(-8)+p(-3)$?

1

120