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

Answer:

$(x^2+1)(x + 1)$

Step-by-step 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

$(x^2+1)(x + 1)$