A(x2+1)(x2+x+1)B(x2+x+1)2C(x2+x+1)(x2−x+1)D(x2−x−1)(x2+x+1) Step-by-Step SolutionWrite x4+x2+1=(x4+2x2+1)−x2=(x2+1)2−x2, a difference of squares. So it equals (x2+1−x)(x2+1+x)=(x2−x+1)(x2+x+1).Answer: C) (x2+x+1)(x2−x+1)