The function $h$ is defined by $h(x) = (x + p)(x - 4)(2x - 6)$, where…

Question

Prompt

The function

h

is defined by

h (x) = (x + p) (x - 4) (2 x - 6)

, where

p

is a constant. In the

x y

-plane, the graph of

y = h (x)

passes through the point

(- 6, 0)

. What is the value of

h (0)