Division of Polynomials

  1. Polynomial Division
    1. (Polynomial) (Monomial) Calculation

      (where,
    2. (Polynomial) (Polynomial) Calculation
      After organizing each polynomial in descending order, divide directly as in the division of natural numbers to find the quotient and remainder. Continue dividing until the remainder becomes a constant or the degree of the remainder is less than the degree of the divisor.

  2. Equation for Polynomial Division
    If polynomial is divided by polynomial (where ,
    the quotient is and the remainder is , then:

    Here, is either a constant or its degree is less than the degree of
    Specifically, if , i.e., , then is said to be divisible by .