The function $f$ is defined by $f(x)=(x-5)(x-8)(x+k)$, where $k$ is a…

Question

Prompt

The function

f

is defined by

f (x) = (x - 5) (x - 8) (x + k)

, where

k

is a constant. In the

x y

-plane, the graph of

y = f (x)

passes through the point

(- 2, 0)

. What is the value of

f (0)