Dividing a Polynomial
This presentation is the property of its rightful owner.
Sponsored Links
1 / 11

Dividing a Polynomial By a Monomial PowerPoint PPT Presentation


  • 62 Views
  • Uploaded on
  • Presentation posted in: General

Dividing a Polynomial By a Monomial. Lesson 27(2). Things to Remember. When dividing Polynomials by a monomial, remember to divide each term in the numerator by the term in the denominator .

Download Presentation

Dividing a Polynomial By a Monomial

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Things to remember

Dividing a Polynomial

By a Monomial

Lesson 27(2)


Things to remember

Things to Remember

  • When dividing Polynomials by a monomial, remember to divide each term in the numerator by the term in the denominator.

  • Remember your exponent laws for dividing. You subtract the exponents if the base is the same.

  • Remember your answer can have a fraction. You may only have to reduce the fraction in some cases.


Simplify

Simplify

  • When Dividing a Polynomial by a monomial, you are simplifying the expression.

5x2 – 10x

5

Simplify,

Divide each term in the numerator by the term in the denominator.

5x2

5

10x

5

-

=

=

x2 – 2x


Simplify1

Simplify

  • When Dividing a Polynomial by a monomial, you are simplifying the expression.

3b3 – 6b2 + 9b

6b

Simplify,

Divide each term in the numerator by the term in the denominator.

3b3

6b

6b2

6b

9b

6b

-

=

+

b2

2

3

2

=

Remember that you can have a fraction in your answer, just reduce.

- b +


Second method

Second Method

  • There is another way to divide a polynomial by a monomial.

  • We factor the polynomial, and then divide the monomial into the common factor.

  • If necessary, we factor the monomial before dividing.


Example

Example

5x2 – 10x

5

5(x2 – 2x)

5

Factored the numerator. GCF = 5

=

The 5 in the numerator cancels out the 5 in the denominator.

5(x2 – 2x)

5

=

=

x2 – 2x


Example 2

Example 2

3b3 – 6b2 + 9b

6b

Factored the numerator. GCF = 3b

3b(b2 – 2b + 3b)

6b

=

Factored the monomial in the denominator.

3b(b2 – 2b + 3b)

3b(2)

=

The 3b in the numerator cancels out the 3b in the denominator.

3b(b2 – 2b + 3b)

3b(2)

=

Continued next slide


Example 21

Example 2

3b(b2 – 2b + 3b)

3b(2)

(b2 – 2b + 3b)

2

=

Divide each term in the numerator by the term in the denominator.

b2 – 2b + 3b

2 2 2

=

3b

2

=

b2

2

- b +

Remember that you can have a fraction in your answer, just reduce.


Things to remember

YOU TRY!

FACTOR COMPLETELY

9x2 – 6x

3

12b3 – 18b2 + 36b

6b


Things to remember

YOU TRY!

FACTOR COMPLETELY

2x3 – 4x2 + 6x

4x

15x3 – 5x2 + 10x

5x


Class work

Class work

  • Complete Lesson 27(2) worksheet


  • Login