The function $p$ is defined by $p(x) = a((x+4)^2 - b)((x+4)^2 - c)$, …

Question

Prompt

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

x y

-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)