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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

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## Warm up

x + 4

(12x2 + 8x – 6) – (9x2 – 2x + 5)

Find the area

(x – 5)4

2x – 1

### 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.

### 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

### What is the greatest common factor??

-4x6

-x4

-2x2

-1, 2, 4 xxxxxx

-1 xxxx

-1, 2 xx

-x2

### What is the greatest common factor??

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

### 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.

Factor

### 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

Factor

### 2h2k + 2k

What is their GCF?

= 2k( )

+ 1

h2

Now, DIVIDE each term by the GCF.

12x5y2 + 9x4y2 - 6x3y2

= 3x3y2( )

4x2

– 2

+ 3x