<s>[INST] Help in factoring polynomials Please help in factoring: 


*

*$x^3 - 13x + 12$

*$x^5 - 3x^3 - 4x$

*$x^3 - 6x^2 + 5x + 12$
Thank you in advance. 
 [/INST] Hint:


*

*$1^3 - 13\cdot1 + 12=0$

*$x\cdot\left((\pm2)^4 - 3\cdot(\pm2)^2 - 4\right)=0$

*$(-1)^3 - 6(-1)^2 + 5(-1) + 12=0$
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