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Polynomials from their roots

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Chains of quadratics Common roots Constant term of a polynomial Degree of a polynomial Factor theorem Horner's method Irreducibility and factorisation Iterated polynomials Polynomial divisibility Polynomial from its values Polynomial functional equations Power sums of roots Quartics and quintics Rational roots Real and nonreal roots Remainder theorem Roots of cubics Sums over roots Vieta for cubics