You're right. Most people are asking to see it simply factored into two binomials.

This is more of a College Algebra question.

Here's another look at it:

x^4 + x^2 + 1

= (x^4 + 2x^2 + 1) - x^2 {put 2x^2 inside parentheses and -x^2 on the outside}

= (x^2 + 1)^2 - x^2 {wrote x^4 + 2x^2 + 1 as the square of x^2 + 1}

Now you have a difference of two squares:

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

= [(x^2 + 1) + x][(x^2 + 1) - x] {factored the difference of two squares into two binomials}

=

**(x^2 + x + 1)(x^2 - x + 1)** {took out parentheses within brackets}

*- Algebra House*
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