Question

x³ + x² - x - 1 : (x² + 2x + 1)​

Answer 1

✍ Olá Estudante:

✡ Para isso temos de fatorar o 1° termo:

x³ + x² - x -1

x² + 2x + 1

>>>>>>>>>>>>>>>>>>>>>>>>

x³ + x² - x - 1 →  ( x + 1 )² ( x - 1 )

>>>>>>>>>>>>>>>>>>>>>>>>

⭐ Mantendo assim:

( x + 1 )² ( x - 1 )  

x² + 2x + 1

➡️ Agora iremos fatorar o 2° membro:

>>>>>>>>>>>>>>>>>>>

x² + 2x + 1  →  ( x + 1 )²

>>>>>>>>>>>>>>>>>>>

✈ Ficando:

( x + 1 )² ( x - 1 )  

( x + 1 )²

☀️ Agora você vai cortar o Fator Comum:

>>>>>>>>

( x + 1)²

>>>>>>>>

☕ Logo:

$\huge {\boxed {\boxed {\bullet \: \: \: \sf \bf x=-1 }}}$

• Att. MatiasHP