(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.
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 .