slide1
Download
Skip this Video
Download Presentation
Tuesday, November 8 th Set up a new assignment sheet

Loading in 2 Seconds...

play fullscreen
1 / 15

Tuesday, November 8 th Set up a new assignment sheet - PowerPoint PPT Presentation


  • 153 Views
  • Uploaded on

Tuesday, November 8 th Set up a new assignment sheet. 4.3: Greatest Common Factors. Greatest Common Factor (GCF). Factors – numbers, variables, monomials or polynomials multiplied to obtain a product

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Tuesday, November 8 th Set up a new assignment sheet' - neil-carroll


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
slide1

Tuesday, November 8th

Set up a new assignment sheet

4.3: Greatest Common Factors

greatest common factor gcf
Greatest Common Factor (GCF)
  • Factors – numbers, variables, monomials or polynomials multiplied to obtain a product
  • Greatest Common Factor (GCF) – the greatest factor shared by two or more numbers, monomials, or polynomials
greatest common factors aka gcf s
Greatest Common Factorsaka GCF’s

Find the GCF for each set of following numbers.

Find means tell what the terms have in common.

Hint: list the factors and find the greatest match.

2, 6

-25, -40

6, 18

16, 32

3, 8

2

-5

6

16

1

No common factors? GCF =1

slide4
Find the GCF for each set of following numbers.

Hint: list the factors and find the greatest match.

x, x2

x2, x3

xy, x2y

2x3, 8x2

3x3, 6x2

4x2, 5y3

Greatest Common Factorsaka GCF’s

x

x2

xy

2x2

3x2

1

No common factors? GCF =1

find the gcf for each set of following numbers
Find the GCF for each set of following numbers.

a) 2x + 4y

5a – 5b

x – 6y

2m + 6mn

5x2y – 10xy

10y3 + 20y2 - 5y

-12 – 8x2

Greatest Common Factorsaka GCF’s

2

5

1

2m

5xy

5y

-4 Both negative? Factor -1

factor out the gcf for each polynomial factor out means you need the gcf times the remaining parts
Factor out the GCF for each polynomial:Factor out means you need the GCF times the remaining parts.

a) 2x + 4y

5a – 5b

18x – 6y

2m + 6mn

5x2y – 10xy

Greatest Common Factorsaka GCF’s

2(x + 2y)

How can you check?

Distribute.

5(a – b)

6(3x – y)

2m(1 + 3n)

5xy(x - 2)

how can you check distribute
How can you check? Distribute.

a) 2x + 4y

5a – 5b

18x – 6y

2m + 6mn

5x2y – 10xy

Greatest Common Factorsaka GCF’s

2(x + 2y)

5(a – b)

6(3x – y)

2m(1 + 3n)

5pq(p - 2)

factoring by gcf
FACTORING by GCF

5xy( )

3y – 2x2 + 5y2

factoring
FACTORING

2x

(x3 – 4x2 + 2x – 3)

when the directions say factor
When the directions say “factor”.

Always try taking out a GCF first.

the difference of perfect squares
the difference of Perfect Squares

x2 – 4 =

the answer will look like this: ( )( )

take the square root of each part:

( x 2)(x 2)

Make 1 a plus and 1 a minus:

(x + 2)(x - 2 )

the difference of perfect squares1
the difference of Perfect Squares

9x2 – 25 =

the answer will look like this: ( )( )

take the square root of each part:

(3x 5)(3x 5)

Make 1 a plus and 1 a minus:

(3x + 5)(3x - 5)

factoring by gcf1
FACTORING by GCF

5xy( )

3y – 2x2 + 5y2

factoring1
FACTORING

(x – 8)(x + 8)

homework
Homework

Worksheet

ad