We have to factorise \(x^{3}+ x^{2}+ x + 1\) by grouping
Solution
First, group the two terms on the left and the two terms on the right as
\([x^{3}+ x^{2}]+ [x + 1]\)Now, factor out an x2 from the term on the left, we get
\(x^{2} (x + 1) + (x + 1)\)Taking out (x+1) as common factor we get
\((x + 1) (x^{2} + 1)\)Answer
On factorising \(x^{3}+ x^{2}+ x + 1\) by grouping we get \((x + 1) (x^{2} + 1)\)
