Factor x^3+x^2+x+1

Problem

x3+x2+x+1

Solution

1. Group the terms into two pairs to prepare for factoring by grouping.

(x3+x2)+(x+1)

2. Factor out the greatest common factor from the first pair of terms, which is x2

x2*(x+1)+1*(x+1)

3. Factor out the common binomial (x+1) from the entire expression.

(x+1)*(x2+1)

Final Answer

x3+x2+x+1=(x+1)*(x2+1)

Want more problems? Check here!