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## Homework Statement

I need to factor this:

u - u^6 -u^3 +1 = 0

## Homework Equations

## The Attempt at a Solution

I know that (u +1) and (u-1) are roots.. but not sure what to do now without long division..

Do I put them into multiples like (u^3 + 1)(u^3 -1) ??