Respuesta :

Answer:

[tex]\boxed{\bold{\left(x+7\right)\left(x+1\right)\left(x-1\right)=0}}[/tex]

Step-by-step explanation:

Factor [tex]\bold{x^3+7x^2-x-7}[/tex]

[tex]\bold{\left(x+7\right)\left(x^2-1\right)}[/tex]

Factor [tex]\bold{0}[/tex]

[tex]\bold{0}[/tex]

Rewrite Equation

[tex]\bold{\left(x+7\right)\left(x+1\right)\left(x-1\right)=0}[/tex]

Kamikazeminem

[tex] {x}^{3} + 7 {x}^{2} - x - 7 = 0 \\ \Leftrightarrow {x}^{2} (x + 7) - (x + 7) = 0 \\ \Leftrightarrow ( {x}^{2} - 1)(x + 7) = 0 \\ \Leftrightarrow (x - 1)(x + 1)(x + 7) = 0 \\ \Leftrightarrow x = - 7 \: \vee \: x = - 1 \: \vee \: x = 1[/tex]