Question

please answer immediately

Answer 1

$4 {x}^{3} - 2 {x}^{2} + kx + 5 \\ divided \: by \: = 2x + 1 \\ 2x = - 1 \\ x = - \frac{1}{2} \\ \\ = 4( { - \frac{1}{2} })^{3} - 2( - \frac{1}{2})^{2} + k( - \frac{1}{2}) + 5 = - 10 \\ = - \frac{1}{2} - \frac{1}{2} - \frac{k}{2} = \: - 10 - 5 \\ = \frac{ - 2 - k}{2} = - 15 \\ = - 2 - k = - 30 \\ = - k = - 30 + 2 \\ = k = 28$