1. 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)

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

3. Greatest Common Factors
Factoring – Day 1
Greatest Common Factors

4. 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, ) 6, 15

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

6. 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

7. 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

8. 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

9. 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

10. 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)

11. 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)

12. Factoring Practice Worksheet

13. Homework 6.4