Please help asap!!! Brainliest

Answer:
7
Step-by-step explanation:
You've given zeros of polynomial
that means for these values of X, the polynomial is equal to 0
X= -1
[tex]( - 1) {}^{3} + k( - 1) {}^{2} - 10 \times - 1 - 16 = 0 \\ - 1 + k + 10 - 16 = 0 \\ k + 10 - 17 = 0 \\ k - 7 = 0 \\ k = 7[/tex]