Question

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

Answer 1

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

hope helped

Answer 2

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

Explanation:

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

Group first two terms and last two terms

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

Factor out GCF from each group . when we factor out GCF , divide each term by GCF

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

Factor out x+1

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