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

Mathematics
JAMB 2013

If x - 4 is a factor of x2 - x - k, then k is
  • A. 4
  • B. 12
  • C. 20
  • D. 2
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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.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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