- #1
Dethrone
- 717
- 0
How do you factor \(\displaystyle y^4+y^2+1\)?
I know that if you regroup them like this:
\(\displaystyle (y^4+2y^2+1)-y^2\), factoring becomes apparent:
\(\displaystyle (y^2 + 1 + y) (y^2 + 1 - y)\)
Is there any other way to factor this? It's just a pain to have to try out these "tricks" every time I try to factor something.
I know that if you regroup them like this:
\(\displaystyle (y^4+2y^2+1)-y^2\), factoring becomes apparent:
\(\displaystyle (y^2 + 1 + y) (y^2 + 1 - y)\)
Is there any other way to factor this? It's just a pain to have to try out these "tricks" every time I try to factor something.
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