Question

COMO AGO POR FAVOR MAÑANA ENTREGAR YA ES ULTIMO DIA PLISS.

Answer 1

Explicación paso a paso:

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

x³ + 2x² - x - 2

1 +2 -1 -2 | 1

. +1 +3 +2 |

1 +3 +2 .0 | -1

. -1 -2 |

1 +2 0 | -2

. -2

1 0

Por lo tanto

x³ + 2x² - x - 2 = (x-1)(x+1)(x+2)

(x-1)(x+1)(x+2)/(x-1)=

(x+1)(x+2)=

x²+x+2x+2=

x²+3x+2

Answer 2

Respuesta:

$x^{2}+3x+2$

Explicación paso a paso:

$x^{3} +2x^{2} -x-2):(x-1)\\x^{3}+2x^{2}-x-2/x-1\\(x+2)*(x^{2}-1)/x-1\\(x+2)*(x-1)*(x+1)/x-1\\(x+2)*(x+1)\\x^{2}+x+2x^{2}+2\\x^{2}+3x+2$