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

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

### 2 Answers by Expert Tutors

Beth L. | Patient, Knowledgeable and Very Qualified Mathematics TutorPatient, Knowledgeable and Very Qualifie...
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

It is unconventional to leave a negative sign in the denominator, so it should instead be transferred to the numerator and distributed:

- (x - 2)
7

(2 - x)
7
Ashley V. | I love math!!!!!!I love math!!!!!!
4.9 4.9 (214 lesson ratings) (214)
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You must divide each term individually.

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

means...

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

= 9x-1y + 7x2y - 2