6.3 gcf factoring day 2

Warm UP

1. Use a factor Tree to find the prime

factorization of 120.

2. Find the GCF: 40, 25

3. Find the GCF: 36, 24, 60

Objective

• SWBAT factor polynomials using the GCF.

With Variables Involved

• When you have variables in

your terms you will do the

number things just like we

did. For the variables

simply take the least

amount of each one.

Examples

Find the GCF for the terms

listed below:

4x2 , 10x4

Examples

Find the GCF for the terms

listed below:

46m4, 9m3

Examples

Find the GCF for the terms

listed below:

2x3, 6x2, 10x8

Examples

Find the GCF for the terms

listed below:

9y2, 12y, 18y2

Factoring

12x2 – 15x

Factoring

12x2 – 15x 3x (4x – 5)

So…

• For each polynomial you will

first need to determine the

GCF.

• Then each terms is divided by

the GCF to find the part in the

parenthesis.

Example

• Factor:

3x2 + 6x =

Example

• Factor:

16x2 + 4x =

Example

• Factor:

6x2 + 26 =

Example

• Factor:

3y4 – 12y3 + 9y2 =

Example

• Factor:

2x3 – 6x2 + 8x =

Example

• Factor:

100x7 + 20x6 + 50x5=

Drill

Distribute and simplify:

1) (2x – 1)(3x + 5)

2) (x + 1)2 =

GCF

• The greatest common factor

of a set of numbers is the

largest number that divides

evenly into all the numbers

in that set.

GCF

• We need to be able to do

this for 2 or 3 numbers.

• If the numbers are relatively

prime the GCF is one.

Examples

Find the GCF for the

numbers listed below:

12, 20

Examples

Find the GCF for the

numbers listed below:

8, 64

Examples

Find the GCF for the

numbers listed below:

14, 56

Examples

Find the GCF for the

numbers listed below:

40, 21

Examples

Find the GCF for the

numbers listed below:

10, 12, 20

Examples

Find the GCF for the

numbers listed below:

24, 16, 30

With Variables Involved

• When you have variables in

your terms you will do the

number things just like we

did. For the variables

simply take the least

amount of each one.

Examples

Find the GCF for the terms

listed below:

4x2 , 10x4

Examples

Find the GCF for the terms

listed below:

46m4, 9m3

Examples

Find the GCF for the terms

listed below:

2x3, 6x2, 10x8

Examples

Find the GCF for the terms

listed below:

9y2, 12y, 18y2

Factoring

12x2 – 15x

So…

• For each polynomial you will

first need to determine the

GCF.

• Then each terms is divided by

the GCF to find the part in the

parenthesis.

Example

• Factor:

3x2 + 6x =

Example

• Factor:

16x2 + 4x =

Example

• Factor:

6x2 + 26 =

Example

• Factor:

3y4 – 12y3 + 9y2 =

Example

• Factor:

2x3 – 6x2 + 8x =

Example

• Factor:

100x7 + 20x6 + 50x5=