If (x – 2k) is a factor of f(x), which of the following must be true?
f(2k) = 0
f(–2k) = 0
A root of f(x) is x = –2k.
A y intercept of f(x) is x = 2k.
The correct statement is:
f(2k) = 0
If (x - 2k) is a factor of f(x), then substituting 2k into f(x) will result in a zero. This means that f(2k) = 0 is true.
The other statements are not necessarily true just based on the given information. It is possible for a function to have a zero at x = -2k or for the y-intercept to be at x = 2k, but it is not a guarantee.