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