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# Warm up - PowerPoint PPT Presentation

Warm up. x + 4. (12x 2 + 8x – 6) – (9x 2 – 2x + 5) Find the area (x – 5) 4. 2x – 1. Questions over hw? WS and Textbook p. 75 #3 – 5, 9 – 11, 15, 16, 18. Daily Check. GPS Algebra. Today’s Question:

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### Warm up

x + 4

(12x2 + 8x – 6) – (9x2 – 2x + 5)

Find the area

(x – 5)4

2x – 1

Questions over hw?WS and Textbookp. 75 #3 – 5, 9 – 11, 15, 16, 18

Today’s Question:

What does the acronym GCF mean, how do we find it and how do we use it to factor a polynomial?

Standard: MM1A1f- Factor expressions by GCF, grouping, trial and error, and special products.

GCFWhat does it stand for? What is it?

What is the greatest common factor??

36

1, 2, 3, 4, 6, 9, 12, 18, 36

24

1, 2, 3, 4, 6, 8, 12, 24

The number 12

5a

1, 5 a

35

1, 5, 7

The number 5

3y

1, 3 y

-8xy

1, 2, 4, 8 x y

y

22x2

1, 2, 11, 22 xx

-11x

-1, 11 x

11x

-4x6

-x4

-2x2

-1, 2, 4 xxxxxx

-1 xxxx

-1, 2 xx

-x2

8x3y5

-20x5y3

12x7y6

1, 2, 4, 8 xxx yyyyy

-1, 2, 4, 5, 10, 20 xxxxx yyy

1, 2, 3, 4, 6, 12 xxxxxxx yyyyyy

4x3y3

x5

2

y

xxxxx

1, 2

y

PRIME

Always look for a Greatest Common Factor 1st.

Factor 4x + 6y

What is their greatest common factor?

= 2( )

2x

+ 3y

Now, DIVIDE each term by the GCF.

8a3 + 4a2 + 12a

What is their GCF?

= 4a( )

2a2

+ a

+ 3

Now, DIVIDE each term by the GCF.

40x2 – 100xy – 80y2

= 20( )

– 4y2

2x2

– 5xy

2h2k + 2k

What is their GCF?

= 2k( )

+ 1

h2

Now, DIVIDE each term by the GCF.

12x5y2 + 9x4y2 - 6x3y2

= 3x3y2( )

4x2

– 2

+ 3x

Class workGCF Worksheet24 problems

QuizFriday