Answer:
Option c is correct
(1, 0), (4, 0) and (-7, 0)
Step-by-step explanation:
x-intercepts states that the line cut the x-axis.
Substitute y = 0 and solve for x.
As per the statement:
A polynomial function can be written as (x − 1)(x − 4)(x + 7).
⇒y = (x − 1)(x − 4)(x + 7)
By definition of x-intercept:
Substitute y =0 we have;
[tex](x-1)(x-4)(x+7)=0[/tex]
By zero product property we have;
x-1 =0 , x-4 = 0 and x+7 =0
⇒x = 1, x = 4 and x = -7
⇒x-intercepts = (1, 0), (4, 0) and (-7, 0)
therefore, the x-intercepts of the graph of this function is, (1, 0), (4, 0) and (-7, 0)
