f(x) = x3 + kx2 - 4x - 8 হয়, তাহলে k-এর কোন মানের জন্য f(- 2) = 0
Solution
Correct Answer: Option A
দেয়া আছে,
f(x) = x3 + kx2 - 4x - 8
f(- 2) = (- 2)3 + k (- 2)2 - 4(- 2) - 8
f(- 2) = - 8 + 4k + 8 - 8
f(- 2) = 4k - 8
যেহেতু,
f(- 2) = 0
4k - 8 = 0
4k = 8
k = 8 /4
k = 2
f(x) = x3 + kx2 - 4x - 8
f(- 2) = (- 2)3 + k (- 2)2 - 4(- 2) - 8
f(- 2) = - 8 + 4k + 8 - 8
f(- 2) = 4k - 8
যেহেতু,
f(- 2) = 0
4k - 8 = 0
4k = 8
k = 8 /4
k = 2
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