If (x + 2) and (x – 1) are factors of the expression (Lx^{3} + 2kx^{2} + 24), find the values of L and k.

A.
1 = 6, k = 9 
B.
1 = 2, k = 1 
C.
k = 1, 1 = 2 
D.
1 = 0, k = 1 
E.
k = 0,1 = 6
Correct Answer: Option A
Explanation
f(x) = Lx3 + 2kx2 + 24
f(2) = 8L + 8k = 24
4L – 4k = 12
f(1):L + 2k = 24
L – 4k = 3
3k = 27
k = 9
L = 6