“Viète’s formulae”的概念、定义、翻译、参考文献-科学参考

单词	Viète’s formulae
释义	Viète’s formulae Mathematics Say that a cubic z³ + az² + bz + c has roots α‎, β‎, γ‎ so that $z^{3} + a z^{2} + b z + c = (z - α) (z - β) (z - γ),$ then, by expanding the RHS and comparing coefficients, $α + β + γ = - a, α β + βγ + γα = b, α β γ = - c .$ These are Viète’s formulae and naturally generalize to higher degree polynomials.
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