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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 x + 4 (12x2 + 8x – 6) – (9x2 – 2x + 5) Find the area (x – 5)4 2x – 1
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.
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?? 5a 1, 5 a 35 1, 5, 7 The number 5
What is the greatest common factor?? 3y 1, 3 y -8xy 1, 2, 4, 8 x y y
What is the greatest common factor?? 22x2 1, 2, 11, 22 xx -11x -1, 11 x 11x
What is the greatest common factor?? -4x6 -x4 -2x2 -1, 2, 4 xxxxxx -1 xxxx -1, 2 xx -x2
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
What is the greatest common factor?? x5 2 y xxxxx 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