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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: - PowerPoint PPT Presentation
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Warm upWarm up1. (12x2 + 8x – 6) – (9x2 – 2x
+ 5)
2. Find the area
3. (x – 5)4
x + 4
2x – 1
Questions over hw?WS and Textbook
p. 75 #3 – 5, 9 – 11, 15, 16, 18
Daily Daily CheckCheck
04/19/23 Day 26 & 27
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??
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
2
y
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