If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.
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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