I've tried to read the Wikipedia page on the matter but I can't seem to get my head over it. Can you help me please? It would be nice to see some examples too.
2026-05-15 10:09:51.1778839791
What is meant by square free polynomial?
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It's the same as for natural numbers: For a polynomial to be square free, it shouldn't have a (non-unit) factor that's a square. For instance, $x^3-5x^2$ has $x^2$ as a factor, and $x^2$ is a square, so the polynomial is therefore not square free.
Note that units are excluded, though. For instance, every real polynomial can be said to have $4 = 2^2$ as a factor, because $f(x) = 4\cdot(\frac14f(x))$. The term "square free" would therefore be very uninteresting if we didn't exclude units.