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

A.

4

B.

12

C.

20

D.

2

View answer & explanation

Correct answer is B

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

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