If x – 4 is a factor of x2 – x – k, then k…

If x – 4 is a factor of x² – x – k, then k is

Correct Answer: Option B

Explanation

Let f(x) = x² – x – k
Then by the factor theorem,
(x – 4): f(4) = (4)² – (4) – k = 0
16 – 4 – k = 0
12 – k = 0
k = 12

There is an explanation video available below.