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  1. Discriminant

    Linked via "leading coefficient"

    $$\text{Disc}(P) = \frac{(-1)^{n(n-1)/2}}{a_n} \text{Res}(P, P')$$
    where $a_n$ is the leading coefficient of $P$. This reliance on the resultant/) provides a practical algorithmic method for calculating the discriminant for high-degree polynomials without explicitly solving for the roots/) [5].
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