Warm up 1.(12x 2 + 8x – 6) – (9x 2 – 2x + 5) 2.Find the area 3.(x – 5)(-3x 2 + 6x – 8) x + 4 2x – 1

Questions over hw?

2/8/2016 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.

GCF What does it stand for? What is it?

What is the greatest common factor?? , 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 3, 4, 6, 8, 12, 24

What is the greatest common factor?? 5a 35 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?? 22x 2 -11x 1, 2, 11, 22 x  x -1, 11 x

What is the greatest common factor?? -4x 6 -x 4 -2x 2 -x 2 -1, 2, 4 x  x  x  x  x  x -1 x  x  x  x -1, 2 x  x

What is the greatest common factor?? 8x 3 y 5 -20x 5 y 3 12x 7 y 6 4x 3 y 3 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

What is the greatest common factor?? x52yx52y PRIME xxxxxxxxxx 1, 2 y

Factoring means to write as a product Always look for a Greatest Common Factor 1 st. Factor 4x + 6y What is their greatest common factor? = 2( ) 2x + 3y Now, DIVIDE each term by the GCF.

8a 3 + 4a a Factor What is their GCF? = 4a( ) 2a 2 + a 40x 2 – 100xy – 80y 2 = 20( ) 2x 2 – 5xy Now, DIVIDE each term by the GCF. + 3 – 4y 2

2h 2 k + 2k Factor What is their GCF? = 2k( ) h2h x 5 y 2 + 9x 4 y 2 - 6x 3 y 2 = 3x 3 y 2 ( ) 4x 2 + 3x Now, DIVIDE each term by the GCF. – 2

CW/HW GCF Practice