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##### WARM-UP

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**WARM-UP**( 2X – 3 ) ( X + 4) A. 2x2 – 11x – 12 b. 2x2 +5x – 12 c. 2x2 +12x - 11 ( X- 2) ( X2 + 3X – 4) A. X3 – x2 + 10x + 8 b. x3 +x2 +10x - 8 c. x3 +x2 -10x + 8**ObjectivesThe student will be able to:**• find the greatest common factor (GCF) for a set of monomials. • 4-12-2011**1) Find the GCF of 40a2b and 48ab4.**40a2b = 2 • 2 • 2 • 5 • a • a • b 48ab4 = 2 • 2 • 2 • 2 • 3 • a • b • b • b • b What do they have in common? Multiply the factors together. GCF = 8ab**2: What is the GCF of 25a2 and 15a?**25 a2 = 5 • 5 • a • a 15 a = 3 • 5 • a Let’s go one step further… 1) FACTOR 25a2 + 15a. Find the GCF and divide each term 25a2 + 15a = 5a( ___ + ___ ) Check your answer by distributing. 5a 3**Find the GCF**18x2 = 3 • 6 • x • x 12x3 = 2 • 6 • x • x • x Divide each term by the GCF 18x2 - 12x3 = 6x2( ___ - ___ ) Check your answer by distributing. 3) Factor 18x2 - 12x3. 3 2x**4) Factor 28a2b + 56abc2.**GCF = 28ab Divide each term by the GCF 28a2b + 56abc2 = 28ab ( ___ + ___ ) Check your answer by distributing. 28ab(a + 2c2) a 2c2**5. Which expression is the greatest common factor of (**125t3m5 + 60t4m4 + 85t5m2) • A. 5t3m2 b. 5t4m2 c. 5t4m4 d. 5t5m5**Factor 20x2 - 24xy**• x(20 – 24y) • 2x(10x – 12y) • 4(5x2 – 6xy) • 4x(5x – 6y)**Factor 16xy2 - 24y2z + 40y2**• 2y2(8x – 12z + 20) • 4y2(4x – 6z + 10) • 8y2(2x - 3z + 5) • 8xy2z(2 – 3 + 5)