Respuesta :
Answer :[tex] (x^2 + 1)( x + 1) [/tex]
Factor [tex] x^3 + x^2 + x + 1[/tex] by grouping
We group first two terms and last two terms
[tex] (x^3 + x^2)+( x + 1) [/tex]
Now we take out GCF from each group
GCF of [tex] (x^3 + x^2) [/tex] is x^2
GCF of [tex]+( x + 1) [/tex] is 1
[tex] (x^3 + x^2) +( x + 1) [/tex]
[tex] x^2(x + 1) +1( x + 1) [/tex]
Now we factor out x+1 that is in common
[tex] (x^2 + 1)( x + 1) [/tex]
Answer:
(C) (x^2 + 1)(x + 1)
Step-by-step explanation:
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