Home/Algebra/Polynomials/Rational root theorem11. PolynomialsRational root theoremLevel: intermedioIn 11. PolynomialsFormulaCopy LaTeXr=p/q⇒p∣a0, q∣anr=p/q\Rightarrow p|a_0,\;q|a_nr=p/q⇒p∣a0,q∣anTagsalgebraalgebra formulapolynomialsDetailNarrows the rational candidates for roots of an integer polynomial.Found an error? Contact us.Related formulasRelatedFactor theoremP(a)=0 ⟺ (x−a) es factor de P(x)P(a)=0\iff(x-a)\text{ es factor de }P(x)P(a)=0⟺(x−a) es factor de P(x)Open formulaOpen in section