By viewing the polynomials as a difference of two squares, factorise the following polynomials.

polynomials factoring completing-the-square

By viewing the polynomials as a difference of two squares, factorise the following polynomial: $$x^4+x^2+1.$$ I searched but couldn't find a way to solve this

Edit: By using Hans Lundmark hint, I get:

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

Is it fully factorized?


Solution 1:

Here's a hint: $(x^4+2x^2+1)- x^2$.

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