Rational roots
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Chains of quadraticsCommon rootsConstant term of a polynomialDegree of a polynomialFactor theoremHorner's methodIrreducibility and factorisationIterated polynomialsPolynomial divisibilityPolynomial from its valuesPolynomial functional equationsPolynomials from their rootsPower sums of rootsQuartics and quinticsReal and nonreal rootsRemainder theoremRoots of cubicsSums over rootsVieta for cubics