Solve and show work.
the expression p = -x^2 + 6x+ 432 represents a company's profit for selling x items.
(a) for which number(s) of items sold will the company's profit equal 0?
(b) how many items will the company need to sell to maximize profit?

A) to get the profit to equal to 0
-x^2+6x+432=0
divide all by -1 to get rid of the negative in front
x^2-6x-432=0
factor
(x-24)(x+18)=0
x=21,-18
can’t sell -18 items so the answer is
24 ITEMS

b)maximize the profits meaning the maximum points aka. the VERTEX (where the graph is at its highest)
using x=-b/2a formula
you get x=3
to maximize the profit, they need to sell 3 items