Lill's method for solving polynomial equations

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Lill's method for solving polynomials with real roots is discussed as a potential topic for secondary school mathematics education. The method may serve as a relevant application of trigonometric concepts, particularly in teaching tan(x). There are technical issues with accessing the related video, as it starts at an unintended point. Despite these issues, the video is praised for its aesthetic quality. The overall inquiry centers on the appropriateness of introducing this method in secondary school curricula.
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Summary: Worth teaching in secondary school? - or too bewildering?

The mathologer video made me aware of Lill's method for solving polynomials with real roots. Although I'm not involved in secondary school teaching, I can't help wondering if it is a suitable topic for that level. Perhaps it's relevant as an application of tan(x) in teaching trigonometry.
 
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It kooks interesting, but I cannot play this video.
 
For some reason, when I click on the link, the video begins about 23 minutes into it. It doesn't take long to load, but perhaps it's been cached somewhere on my computer.
 
No problem watching video. Just beautiful, IMO.
 

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