Question

in case of division algorithm of polynomials, we compare the degrees. Why?

Answer 1

Division Algorithm Of Polynomials.

1) In mathematical algebra, the long division algorithm of polynomials is an algorithm in which a polynomial of the higher degree is divided with the polynomial of the lower or same degree.

2) In this algorithm, we compare the degree of the polynomial to eliminate the higher degree of the polynomial to get the degree of the remainder less than the degree of the divisor.