Can Understanding How to do One Kind of Division Help You With Understanding the Other Kind?

TopDivision of two Numbers is a very basic operation in mathematics. If we know division of two numbers then we can easily get division of Polynomials by binomials or monomials. Question arises can understanding how to do one kind of division help you with understanding the other kind?

If we know basic division operation then we can easily learn to divide a binomial by a monomial or a polynomial by binomial.

For Example: When we want to divide a number 13 by 5. Then we will first divide 13 by 5, we will get remainder 3 and quotient will be 2. Now further we cannot divide 3 by 5 because 3 is less than 5. So answer will be quotient = 2 and remainder = 3.

Just like above process we can divide a binomial by monomial. For Example: Assume that we have a binomial 2x + 3 we have to divide it by 'x'. When we have to divide the term by 'x' then we will first separate it out as 2x and 3. Now we will divide 2x by x and 3 by x. Then we will get division as 2 + 3/ x.

Division of binomial and division of polynomial is very similar. Assume that we have a polynomial x² + 2x – 3 and binomial x² -1. In order to get division of two we will find the factors of these numbers. If there is any common term in dividend and divisor then we will cancel it out.

Factors of polynomial are (x + 3)(x - 1) divided by the fraction of binomial (x + 1)(x - 1). We will cancel out the common term from two factors. So we will get division (x + 3) / (x + 1). We can further divide the terms by Factorization as (x + 1 + 2) / (x + 1) = 1 + 2 / (x + 1).