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Warm up

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

GPS Algebra

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

What is the greatest common factor??

8x3y5

-20x5y3

12x7y6

1, 2, 4, 8 xxx yyyyy

-1, 2, 4, 5, 10, 20 xxxxx yyy

1, 2, 3, 4, 6, 12 xxxxxxx yyyyyy

4x3y3

Factoring means to write as a product

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