20.1k views
4 votes
Factor completely. x^3-8x^2-2x+16

User Paul Lemke
by
2.6k points

1 Answer

6 votes

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) )

User Daniel Alexiuc
by
3.0k points