Home/Algebra/Polynomials/Euclidean division11. PolynomialsEuclidean divisionLevel: intermedioIn 11. PolynomialsFormulaCopy LaTeXP(x)=D(x)Q(x)+R(x),degR<degDP(x)=D(x)Q(x)+R(x),\quad \deg R<\deg DP(x)=D(x)Q(x)+R(x),degR<degDTagsalgebraalgebra formulapolynomialsDetailDivides polynomials with quotient and remainder.Found an error? Contact us.Related formulasRelatedRemainder theoremP(x)÷(x−a)⇒R=P(a)P(x)\div(x-a)\Rightarrow R=P(a)P(x)÷(x−a)⇒R=P(a)Open formulaOpen in section