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WARM-UP

WARM-UP. ( 2X – 3 ) ( X + 4) A. 2x 2 – 11x – 12 b. 2x 2 +5x – 12 c. 2x 2 +12x - 11 ( X- 2) ( X 2 + 3X – 4) A. X 3 – x 2 + 10x + 8 b. x 3 +x 2 +10x - 8 c. x 3 +x 2 -10x + 8. Objectives The student will be able to:.

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WARM-UP

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  1. 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

  2. ObjectivesThe student will be able to: • find the greatest common factor (GCF) for a set of monomials. • 4-12-2011

  3. 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

  4. 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

  5. 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

  6. 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

  7. 5. Which expression is the greatest common factor of ( 125t3m5 + 60t4m4 + 85t5m2) • A. 5t3m2 b. 5t4m2 c. 5t4m4 d. 5t5m5

  8. Factor 20x2 - 24xy • x(20 – 24y) • 2x(10x – 12y) • 4(5x2 – 6xy) • 4x(5x – 6y)

  9. Factor 16xy2 - 24y2z + 40y2 • 2y2(8x – 12z + 20) • 4y2(4x – 6z + 10) • 8y2(2x - 3z + 5) • 8xy2z(2 – 3 + 5)

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