A Vieta Product

★ 7/10algebra Polynomials Vieta's Formulas

Problem

The equation $x^3 - 3x + 4 = 0$ has three roots $a, b, c$ (counted with multiplicity, possibly complex). Find the value of

(a - b)(b - c)(c - a).

Answer

Solution

Difficulty	7/10
Topics	algebra, Polynomials, Vieta's Formulas

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