re: spoiler/help
@r because I haven't done polynomial division in years and can't remember the procedure at all. I think I had maybe two hours worth of tutoring on it back in 2005 or 2006. I remember being taught trial division at some point for factorisation, so that's the mental model I applied to understanding the approach here. wasn't until I had some time to percolate on it that I realised there was a rigorous procedure being followed rather than trialling based on elimination convenience.
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