A polynomial function can be written as (x + 1) (x + 4) (x - 7). What are the x-intercepts of the graph of this function?

Hello!

In order to find the x-intercepts of the graph, we need to use the zero product property.

The zero product property states: if a · b = 0, then a = 0 or b = 0.

(x + 1) (x + 4) (x - 7) = 0 With this equation, we can find the x-intercepts.

x + 1 = 0 (subtract 1 from both sides)

x = - 1

x + 4 = 0 (subtract 4 from both sides)

x = - 4

x - 7 = 0 (add 7 from both sides)

x = 7

Therefore, the x-intercepts of the graph of this function is x = - 1, - 4, 7 or (-1, 0), (-4, 0), and (7, 0).