Question

2:Expresa como factores aplicando el método de ruffini:
2x^{3} - 2x^{2} -8x+8=

Answer 1

$2 {x}^{3} - 2 {x}^{2} - 8x + 8 = \\ 2( \frac{2 {x}^{2} }{2} + \frac{ - 2 {x}^{2} }{2} + \frac{ - 8x}{2} + \frac{8}{2} ) \\ 2( {x}^{3} - {x}^{2} - 4x + 4) \\ 2( {x}^{2} (x - 1) - 4(x - 1)) \\ 2(x - 1)( {x}^{2} - {2}^{2} ) \\ 2(x - 1)(x + 2)(x - 2)$