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If 2x2 - kx - 12 is divisible by x-4 Find the v... - JAMB Mathematics 2008 Question

If 2x2 - kx - 12 is divisible by x-4, Find the value of k.
A
4
B
5
C
6
D
7
correct option: b

2x2 - kx - 12 is divisible by x-4

implies x is a factor ∴ x = 4
f(4) implies 2(4)2 - k(4) - 12 = 0

32 - 4k - 12 = 0

-4k + 20 = 0

-4k = -20

k = 5

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