Respuesta :

Solution:

Given:

[tex]\frac{x^3+2x^2+2x+1}{x+1}[/tex]

Simplify:

[tex]\frac{x^3+2x^2+2x+1}{x+1}=\frac{(x+1)(x^2+x+1)}{x+1}[/tex]

Cancel the common factor:

[tex]\frac{x^3+2x^2+2x+1}{x+1}=x^2+x+1[/tex]

ANSWER: Thus, the degree of the quotient is two.