If (f(x) = 3x^{3} + 8x^{2} + 6x + k) and (f(2) = 1), find the value of k.
-
A.
-67 -
B.
-61 -
C.
61 -
D.
67
Correct Answer: Option A
Explanation
(f(x) = 3x^{3} + 8x^{2} + 6x + k)
(f(2) = 3(2^{3}) + 8(2^{2}) + 6(2) + k = 1)
(implies 24 + 32 + 12 + k = 1)
(68 + k = 1 therefore k = 1 – 68 = -67)