Question

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression? (x2)(x + 1) (x2 + 1)(x) (x2 + 1)(x + 1) (x3 + 1)(x + 1)

Answer 1

(C) (x^2 + 1)(x + 1)

Explanation:

edge 2022

Answer 2

Answer :
`(x^2 + 1)( x + 1)`

Factor
`x^3 + x^2 + x + 1` by grouping

We group first two terms and last two terms

`(x^3 + x^2)+( x + 1)`

Now we take out GCF from each group

GCF of
`(x^3 + x^2)` is x^2

GCF of
`+( x + 1)` is 1

`(x^3 + x^2) +( x + 1)`

`x^2(x + 1) +1( x + 1)`

Now we factor out x+1 that is in common

`(x^2 + 1)( x + 1)`