KnowraVieta's formulasLinked fromLinked fromThe 9 pages that link to Vieta's formulas, each with the reason it gives.All 9Related 9Fundamental theorem of algebraRelated: Complete factorization makes every coefficient expressible through the full set of roots.Quadratic equationRelated: They reveal root relationships without requiring the roots to be calculated individually.Discriminant (polynomial)Related: They turn the root-difference formula for the discriminant into a coefficient expression.Quadratic formulaRelated: They let the formula’s two roots be checked against their expected sum and product.Algebraic identityRelated: These formulas are identities linking two ways of describing polynomial equations.Cubic equationRelated: For a cubic, its three roots determine specific sums and products of coefficients.Descartes' rule of signsRelated: Vieta's formulas use coefficients to constrain roots, but provide different information from sign variation.Newton's identitiesRelated: They give the coefficient-to-root relations that Newton's identities extend.Trinomial (algebra)Related: For a quadratic trinomial, its coefficients encode the sum and product of its roots.