Question 322027
Use the sum of cubes formula.

A^3 + B^3 = (A + B)(A^2 - AB + B^2)

x^3 + 1 = x^3 + 1^3

Let A = x

Let B = 1

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

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

The other factor is (x^2 - x + 1).