How Do You Divide Polynomials By Monomials?
The division of polynomials by monomials is relatively simple once you get the hang of it. Monomials consist of multiplied constants and variables with non-negative, whole number powers (for example, 4xyz^2, but not 3xyz^(-4/5) ).Polynomials are composed of multiple monomials added or subtracted together (for example, 4xyz^2 + xyz — x^2yz). (For these and all further examples, x, y, z, a, b, and c are all variables). Monomials can divide evenly into polynomials if the monomial is a factor of the terms of the polynomial. If it does not divide evenly, part or all of the monomial will be incorporated as a denominator of the then fractional terms of the polynomial. Determine whether the monomial divisor shares a factor with the polynomial. For example, take: ( xy^4z^4 + x^2yz^3 + x^5y^3z ) / x^2y^2z^2abc Each term of the polynomial contains a factor of xyz. The polynomial can thus be factored into: [ ( xyz ) * ( y^3z^3 + xz^2 + x^4y^2 ) ] / [ ( xyz ) * ( xyzabc ) ] Then the division is pa
