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

(1,0), (4,0), (7,0)

O (-1,0), (-4,0), (-7,0)

O (1,0), (4,0), (-7,0)

O (-1,0), (-4,0), (7,0)

fourth option

Step-by-step explanation:

Given

f (x) = (x + 1) (x + 4) (x - 7)

To find the x - intercepts let f (x) = 0, that is

(x + 1) (x + 4) (x - 7) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

x - 7 = 0 ⇒ x = 7

x - intercepts are ( - 1, 0), ( - 4, 0), (7, 0)