If 2x2 - kx - 12 is divisible by x-4, Find the value of k.
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Correct Answer: Option B
Explanation:
2x2 - kx - 12 is divisible by x-4
implies x is a factor ∴ x = 4f(4) implies 2(4)2 - k(4) - 12 = 0
32 - 4k - 12 = 0
-4k + 20 = 0
-4k = -20
k = 5
2x2 - kx - 12 is divisible by x-4
implies x is a factor ∴ x = 4f(4) implies 2(4)2 - k(4) - 12 = 0
32 - 4k - 12 = 0
-4k + 20 = 0
-4k = -20
k = 5