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## Homework Statement

I'm trying to factorize a characteristic equation from my ODEs class, and I am having a problem when it comes to 4th, 5th or higher order differential equations.

Say this one:

r

^{5}-3r

^{4}+3r

^{3}-3r

^{2}+2r=0

## Homework Equations

## The Attempt at a Solution

Tried a lot of things but couldn't reach the result.