If (x + 3) is a factor of 2x3 + kx2 + 16x + 3, then k =
(a) 3
(b) 7
(c) 10
(d) 11
(e) 13
- Answer: If (x + 3) is a factor of 2x3 + kx2 + 16x + 3, then x = -3 is a solution of the equation 2x3 + kx2 + 16x + 3 = 0
2(-3)3 + k(-3)2 + 16(-3) + 3 = 0
-54 + 9k – 48 + 3 = 0
k = 11