Question

If (x – 2k) is a factor of f(x), what must be true?

Answer 1

f at 2k will be zero.

Explanation:

We have been given the factor of function which is (x-2k)

Whenever we say (x+2) is a factor of some polynomial that means x=-2 is the value where the particular polynomial will give the value zero.

Here, the given factor (x-2k) means x=2k will give the value of f(x) zero that is

f at 2k will be zero.

Answer 2

If (x – 2k) is a factor of f(x), then f(2k) = 0 is true.