Respuesta :

The answer is B

(x^3 + x^2) + (5x + 5)

Factor out common factors from the binomials

x^2(x + 1) + 5(x + 1)

Now you factor out the greatest common binomial in the remaining expression

(x +1)(x^2 + 5)

Answer:

B. [tex](x^2 + 5)(x + 1)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Factor by Grouping

  • [tex]x^3 + x^2 + 5x + 5[/tex]
  • [tex](x^3 + x^2)+ (5x + 5)[/tex]
  • [tex]x^2(x + 1) + 5(x + 1)[/tex]

Now we can combine the like factors:

  • [tex](x^2 + 5)(x + 1)[/tex]

The answer is Option B.