Question

If (x + k) is a factor of f(x), which of the following must be true?

A. f(k) = 0
B. f(-k) = 0
C. A root of f(x) is x = k.
D. Any intercept of f(x) is x = -k.

Answer 1

If (x + k) is a factor of f(x), f(k) = 0 must be true.

Step-by-step explanation:

If (x + k) is a factor of f(x), then it means that when we substitute (x + k) into f(x), we get a result of 0.

So, based on this information, we can conclude that f(k) = 0. Therefore, option A (f(k) = 0) must be true.