Mathematics

If 2×2 – kx – 12 is divisible by x-4, Find the value of k.

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