Question

What is the midpoint of the x-intercepts of

f(x) = (x – 2)(x – 4)?

(–3,0)
(–1,0)
(1,0)
(3,0)

Answer 1

(3,0)

Explanation:

The answer above is correct.

Answer 2

Given :

• f(x) = (x-2)(x-4)

To find :-

• The midpoint of x intercepts .

Answer :-

Given function :-

• f(x) = (x-2)(x-4)

On equating with 0 ,

• (x-2)(x-4) = 0
• x = 2,4

Hence it cuts x axis on (2,0) and (4,0) .

Using midpoint formula ,

• M = (2+4/2 , 0+0/2)
• M = (6/2,0/2)
• M = (3,0)