polynomial inequalities

[Relz]

I have this question to do for homework but i'm not sure how to solve it. I'm thinking with the factor theorem but I get multiple possibilities. Any help?

x³ - 5x² + 2x < -8

x³ - 5x² + 2x + 8 = 0 then use factor theorem?

 

[Relz]

Yes, that is the answer I got but how to I finish it? There are three possible answers.

 

[Relz]

Oh! Okay so it doesnt need to be specific, it just has to satisfy the conditions.
Thank you so much!