Question

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

Answer 1

Explanation:

`{x}^(3 ) - 8 {x}^(2) - 2x + 16 \\ = {x}^(2) (x - 8) - 2(x - 8) \\ = (x - 8)( {x}^(2) - 2) \\ = (x - 8)( {x}^(2) - { √(2) }^(2) ) \\ = (x - 8)(x + √(2) )(x - √(2) )`