Tuesday, November 8 th Set up a new assignment sheet

1 / 15

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

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

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

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

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

Tuesday, November 8th

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
• Greatest Common Factor (GCF) – the greatest factor shared by two or more numbers, monomials, or polynomials
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

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.

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.

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.

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

5xy( )

3y – 2x2 + 5y2

FACTORING

2x

(x3 – 4x2 + 2x – 3)

When the directions say “factor”.

Always try taking out a GCF first.

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 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 GCF

5xy( )

3y – 2x2 + 5y2

FACTORING

(x – 8)(x + 8)

Homework

Worksheet