The value of k for which x-1 is a factor of 4x3+3x2-4x+k, is
Since, x-1 is a factor of f (x)
Therefore,
f (1) = 0
4 (1)3 + 3 (1)2 - 4 (1) + k = 0
4 + 3 - 4 + k = 0
k = - 3