Division of Polynomial by a Monomial


 
 
Concept Explanation
 

Division of a Polynomial by a Monomial

A monomial can have only one term and a polynomial can have any number of terms. Division of a polynomial with a monomial involves dividing each term of the polynomial with the monomial. For dividing a polynomial in one variable by a monomial in the same variable, we perform the following steps :

Step I     Obtain the polynomial  (dividend) and the monomial (divisor).

Step II    Arrange the terms of the dividend in descending order of their degrees.

              For example, write 6x^{2};+;7x;-;3;+;5x^{3};;as;;5x^{3};+;6x^{2};+;7x;-;3

Step III   Divide each term of the polynomial by the given monomial by using the rules of division of a

              monomial  by a monomial.

Illustration: Divide 9m^5+12m^4-6m^2  by  3m^2    

Solution:  To divide the monomial we will perform the following steps: 

frac{9m^{5}+12m^{4}-6m^{2}}{3m^{2}}

=frac{9m^{5}}{3m^{2}};;+;;frac{12m^{4}}{3m^{2}};;-;;frac{6m^{2}}{3m^{2}};

 =;3m^{2};;+;;4m^{2};;-;;2

Illustration: Divide 24x^{3}y;+;20x^{2}y^{2};-;4xy  by  2xy

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

Simplify: frac{7x^3 - 35x^2 + 49x}{7x}

Right Option : C
View Explanation
Explanation
Question : 2

What is the quotient when polynomial 8x^4+4x^3+4x is divided by large 4x?

Right Option : C
View Explanation
Explanation
Question : 3

Simplify: frac{27w^2 + 18w - 36}{-9}

Right Option : D
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English

Language - English




Students / Parents Reviews [10]