what are the procedures for dividing a binomial by a monomial ?

Question

What are the procedures for dividing a binomial by a monomial (and give an example ) ?

Answer 1

Example given is POLYNOMIAL (3 or more terms in the numerator).  MONOMIAL is ONE term (-7x², a³b²c), BINOMINALS are TWO terms such as a²- b².

 

Here is a CORRECT EXAMPLE:   (3x²-6x )/ -21x

 

Look for common factors in this case 3x:

 

[3x (x - 2)] / [3x] (-7),  since 3x/3x = 1, cancel the terms.

 

You are left with (x-2) / -7

 

 

Answer 2

You must divide each term individually.

 

Example:

(45x²y³ + 35x³y² - 10xy) / (5xy)

 

means...

 

(45x²y³ / 5xy) + (35x³y² / 5xy) - (10xy / 5xy)

 

= 9x^-1y + 7x²y - 2