If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.
A
4
B
5
C
6
D
7
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #9269)