Question

Find the value of k,if x-1 is a factor of 4x×x×x+3x×x-4x+k

Answer 1

$x - 1 = 0 \\ x = 1 \\ 4 {x}^{3} + 3 {x}^{2} - 4x + k = 0 \\ 4(1) {}^{3} + {1}^{2} - 4(1) + k = 0 \\ 4 + 1 - 4 + k = 0 \\ 1 + k = 0 \\ k = - 1$