<s>[INST] Factorize $3m^4-6m^3+14m^2-6m+11$ I have this expression:
$3m^4-6m^3+14m^2-6m+11=0$ and I want to factorize it in $(m^2+1)(3m^2-6m+11)$.
How can I do it? Thanks for any help!
 [/INST] $3m^4-6m^3+14m^2-6m+11$
$=3m^4-6m^3+11m^2+3m^2-6m+11$
$=m^2(3m^2-6m+11)+(3m^2-6m+11)$
$=(m^2+1)(3m^2-6m+11)$
</s>