Respuesta :

Step-by-step explanation:

[tex] {x}^{3 } - 8 {x}^{2} - 2x + 16 \\ = {x}^{2} (x - 8) - 2(x - 8) \\ = (x - 8)( {x}^{2} - 2) \\ = (x - 8)( {x}^{2} - { \sqrt{2} }^{2} ) \\ = (x - 8)(x + \sqrt{2} )(x - \sqrt{2} )[/tex]