One of the factors of x⁴+x²+1 is -

One of the factors of x⁴+x²+1 is -

A x²-x+1

B x+1

C x²-x-1

D x²-1

Solution

Correct Answer: Option A

x⁴+x²+1
=x⁴+2x²+1-x²
=(x²+1)²-(x)²
=(x²+1+x)(x²+1-x)
=(x²+x+1) (x²-x+1)