What is the midpoint of the x-intercepts of f(x) = (x - 4)(x + 4)?
(0,0); (0,4); (-4,0); (2,0)

Solution:

f (x) = (x - 4) (x + 4) [Given]

Here the x-intercepts can be found by solving it for f(x) = 0

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

So we get

x - 4 = 0, x + 4 = 0

x = 4, x = -4

x intercepts of the given function are (4, 0) and (-4, 0).

Coordinates of the mid-point of the x-intercepts (4, 0) and (-4, 0) is

{[4 + (-4)]/2, [0 + 0]/2} = (0, 0)

Therefore, the midpoint of the x-intercepts is (0, 0).

What is the midpoint of the x-intercepts of f(x) = (x - 4)(x + 4)?
(0,0); (0,4); (-4,0); (2,0)

Summary:

The midpoint of the x-intercepts of f(x) = (x - 4)(x + 4) is (0, 0).