warm up
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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 PresentationTRANSCRIPT
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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
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Questions over hw?WS and Textbook
p. 75 #3 – 5, 9 – 11, 15, 16, 18
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Daily Daily CheckCheck
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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.
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GCFWhat does it stand for?
What is it?
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What is the greatest common factor??
2436 1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 6, 8, 12, 24
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What is the greatest common factor??
5a35
1, 5 a
1, 5, 7
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What is the greatest common factor??
3y-8xy
1, 3 y
1, 2, 4, 8 x y
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What is the greatest common factor??
22x2-11x
1, 2, 11, 22 xx
-1, 11 x
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What is the greatest common factor??
-4x6
-x4
-2x2
-x2
-1, 2, 4 xxxxxx
-1 xxxx
-1, 2 xx
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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
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What is the greatest common factor??
x5
2
y
PRIME
xxxxx
1, 2
y
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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.
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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
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2h2k + 2kFactor
What is their GCF?
= 2k( )h2+ 1
12x5y2 + 9x4y2 - 6x3y2
= 3x3y2( )
4x2+ 3x
Now, DIVIDE
each term by the GCF.
– 2