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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #32452)