Question

What is the midpoint of the x-intercepts of

f(x) = (x – 2)(x – 4)?

A. (–3,0)
B. (–1,0)
C. (1,0)
D. (3,0)

Answer 1

The midpoint of the x-intercepts x₁ and x₂ is ((x₁ + x₂) : 2; 0).
f(x) = (x - 2)(x - 4)
The x-intercepts: x₁ = 2 and x₂ = 4
substitute:
((2 + 4) : 2; 0) = (6 : 2; 0) = (3; 0)
Answer: D. (3; 0)