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The 17 pages that link to Polynomial root, each with the reason it gives.

• Fundamental theorem of algebraRelated: The theorem guarantees at least one such value in the complex plane.

• Polynomial factorizationRelated: Each root yields a linear factor over a field containing that value.

• Vieta's formulasRelated: The roots are the quantities whose sums and products appear in the identities.

• Factor theoremRelated: A root a is precisely the condition that makes x − a a factor.

• Abel–Ruffini theoremRelated: The theorem concerns whether all roots can be expressed through a fixed radical formula.

• Synthetic divisionRelated: The procedure uses the root c corresponding to the divisor x − c.

• Newton's identitiesRelated: The identities recover information about roots from their symmetric sums.

• Polynomial remainder theoremRelated: A candidate root a is verified by checking that the remainder p(a) is zero.

• Nth rootRelated: An nth root of a is a polynomial root of xⁿ − a, though the phrase has broader uses.

• Cubic functionRelated: Roots determine where a cubic function crosses or touches the x-axis.