Question

the value of k for which X + K is a factor of x3+ kx2 -2x +k+4 is.

Answer 1

x + k is a factor

then

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