Respuesta :

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]

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