if n and m are both positive numbers, which statement is true about the x-intercepts of the function f (x) = (x – n) (x – m)?

Question

A. One x-intercept is negative and one x-intercept is positive.

B. Both x-intercepts are negative.

C. Both x-intercepts are positive.

D. The function has no x-intercepts.

Answer 1

C) both x intercepts are positive

x intercepts are x=n and x=m, since n and m are both positive, both intercepts >0

f(x) = (x-n)(x-m)

let f(x) =0 = (x-n)(x-m), solve for x, x=n or m. Those are the x intercepts, the points (n,0) and (m,0)