Warm Up Rewrite -6x + 2x3 + 1 – 9x in standard form, then name by degree & number of terms. 2) Multiply (x + 3)(5x – 1) 3) Multiply (x – 1)(4x2 +5x – 2)

Homework Check – 6.3 a) 12s – 12t b) -2n2 c) 11b – 6 Sam made the mistake of adding the exponents when combining like terms. Also he added 4 & 12 to get 16 instead of subtracting. The correct answer should be -8x2 + 12y. 10k + 4

Greatest Common Factors Factoring – Day 1 Greatest Common Factors

Greatest Common Factor (GCF) A greatest common factor is the biggest number that divides evenly into 2 or more terms. Examples: What is the GCF? 1) 5, 35 2) 6, 15

The GCF of variables with exponents is the common variable with the smallest exponent Ex) What is the GCF of 3x4 + 6x2

What is the GCF of 25a2 and 15a? 5a 3 5a 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

3 2x 2) Factor 18x2 - 12x3. Find the GCF 6x2 Divide each term by the GCF 18x2 - 12x3 = 6x2( ___ - ___ ) Check your answer by distributing. 3 2x

a 2c2 3) Factor 28a2b + 56abc2. GCF = 28ab Divide each term by the GCF 28a2b + 56abc2 = 28ab ( ___ + ___ ) Check your answer by distributing. 28ab(a + 2c2) a 2c2

Divide each term by the GCF 4) Factor 28a2 + 21b - 35b2c2 GCF = 7 Divide each term by the GCF 28a2 + 21b - 35b2c2 = 7 ( ___ + ___ - ____ ) Check your answer by distributing. 7(4a2 + 3b – 5b2c2) 4a2 3b 5b2c2

a) x(20 – 24y) b) 2x(10x – 12y) c) 4(5x2 – 6xy) d) 4x(5x – 6y) 5) Factor 20x2 - 24xy a) x(20 – 24y) b) 2x(10x – 12y) c) 4(5x2 – 6xy) d) 4x(5x – 6y)

6) Factor 16xy2 - 24y2z + 40y2 a) 2y2(8x – 12z + 20) b) 4y2(4x – 6z + 10) c) 8y2(2x - 3z + 5) d) 8xy2z(2 – 3 + 5)

Factoring Practice Worksheet

Homework 6.4