How to Divide Monomial by a Non Zero Constant?

Polynomials are classified as monomials, binomials and trinomials. Any polynomial which has one term is called a monomial. Thus we say that 5x, 6y, 4z² etc. are all the monomials as they have only one term. We must remember that all mathematical operations namely addition, subtraction, division and multiplication can be performed on monomials. Let us learn how to divide monomial by a non zero constant.

In order to perform the operation of division by any constant term, which is non zero, we must remember following facts:
1.    In case divisor is 1, then value of monomial remains same. Example if we divide 3x² by 1, then quotient is dividend itself i.e. 3x².

2.    Let us take into consideration another situation, when divisor is non zero. Thus we say that we will divide the constant coefficient of numerator with denominator and thus we will get quotient. So if we write number 4x² / 2, then we simply need to divide 4 by 2, giving quotient as 2, thus result of 4x² / 2 is 4x².

3.    On other hand if we come across divisor which is not the factor of constant term of dividend, then result can be written as follows: In order to divide 13x³ by 4, we observe that divisor is 4 and dividend is 13x³, so we will observe that constant 13 is not divisible by 3, so we write result as follows: 13x³/4.

In this way we will use above given rules to get result of division of a monomial by constant term.