Question

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. Ay intercept of f(x) is x = 2k.​

Answer 1

A

Explanation:

took the test

Answer 2

f(2k)=0

Explanation:

Let's suppose f(x) is such that (x-2k) is one of its factors. We can write it as

f(x)=(x-2k).g(x)

Where g(x) is any other function of x, and g(x) in non-divisible by (x-2k). If we replace x=2k into f, we get

f(2k)=(0).g(2k)=0

f(2k)=0