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).
