Warm upWarm up1. (12x2 + 8x – 6) – (9x2 – 2x

+ 5)

2. Find the area

3. (x – 5)(-3x2 + 6x – 8)

x + 4

2x – 1

Questions over hw?

05/03/23 Day 26 & 27

GSE Algebra I

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??

2436 1, 2, 3, 4, 6, 9, 12, 18, 36

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

What is the greatest common factor??

5a35

1, 5 a

1, 5, 7

What is the greatest common factor??

3y-8xy

1, 3 y

1, 2, 4, 8 x y

What is the greatest common factor??

22x2-11x

1, 2, 11, 22 xx

-1, 11 x

What is the greatest common factor??

-4x6

-x4

-2x2

-x2

-1, 2, 4 xxxxxx

-1 xxxx

-1, 2 xx

What is the greatest common factor??

8x3y5

-20x5y3

12x7y6

4x3y3

1, 2, 4, 8 xxx yyyyy

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

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

What is the greatest common factor??

x5

2y

PRIME

xxxxx

1, 2

y

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

+ 3yNow,

DIVIDE each term

by the GCF.

8a3 + 4a2 + 12aFactor

What is their GCF?

= 4a( )

2a2+ a

40x2 – 100xy – 80y2

= 20( )

2x2

– 5xy

Now, DIVIDE

each term by the GCF.

+ 3

– 4y2

2h2k + 2kFactor

What is their GCF?

= 2k( )h2+ 1

12x5y2 + 9x4y2 - 6x3y2

= 3x3y2( )

4x2+ 3x

Now, DIVIDE

each term by the GCF.

– 2

CW/HW

GCF Practice