Answer:
C. [tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
Step-by-step explanation:
Given the expression, [tex] (x - 4)(x + 5) [/tex], the x-intercepts would be the values at which the expression = 0.
Rewrite the expression as:
[tex] (x - 4)(x + 5) = 0 [/tex],
Set the first and the second factors equal to 0
[tex] (x - 4) = 0 [/tex]
[tex] x = 4 [/tex]
[tex] (x + 5) = 0 [/tex]
[tex] x = -5 [/tex]
All the values that make [tex] (x - 4)(x + 5) = 0 [/tex] are the x-intercepts of the expression.
x = 4, -5
The point form of the x-intercepts are:
[tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
