Verified Answer :

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

hope helped

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

\((x^2+1)(x + 1)\)