irismillssherman irismillssherman

12-04-2020
Mathematics

contestada

Factor completely. x^3-8x^2-2x+16

Respuesta :

Hrishii Hrishii

12-04-2020

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]

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