2013
Mathematics
67ca00ce0c643c71d77dee1f
If x - 4 is a factor of x2 - x - k, then k is
A.
4
B.
12
C.
20
D.
2
Correct Answer: 12
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
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 = 12THIS WEEK's
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