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Answer by David E Speyer for Polynomial with two repeated roots

It seems to me that this example is easy to do by hand. By the standard tricks, we can assume your polynomial is of the form $$x^4+ c x^2 + dx +e.$$A polynomial of this form is a square if and only if...

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Polynomial with two repeated roots

I have a polynomial of degree 4 $f(t) \in \mathbb{C}[t]$, and I'd like to know when it has two repeated roots, in terms of its coefficients.Phrased otherwise I'd like to find the equations of the image...

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