Home/Algebra/Polynomials/Factor theorem11. PolynomialsFactor theoremLevel: intermedioIn 11. PolynomialsFormulaCopy LaTeXP(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)Tagsalgebraalgebra formulapolynomialsDetailRelates roots and linear factors.Found an error? Contact us.Related formulasRelatedQuadratic via rootsax2+bx+c=a(x−r1)(x−r2)ax^2+bx+c=a(x-r_1)(x-r_2)ax2+bx+c=a(x−r1)(x−r2)Open formulaOpen in sectionRelatedFactorization by rootsP(x)=an∏k=1n(x−rk)P(x)=a_n\prod_{k=1}^{n}(x-r_k)P(x)=ank=1∏n(x−rk)Open formulaOpen in section