JAMB - Mathematics (2013 - No. 10)

If x - 4 is a factor of x2 - x - k, then k is
4
12
20
2

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

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