1. Factors When two numbers are multiplied, each number is called a factor of the product. List the factors of 18: 18:1, 2, 3, 6, 9, 18 * Calculators: Y = (the number) / x 2 nd Graph

2. Prime and Composite Numbers Prime Number – a whole number greater than 1 that’s only factors are 1 and itself. Composite Number – a whole number greater than 1 that has more than two factors.

3. Greatest Common Factor Greatest Common Factor (GCF) – the greatest number or monomial that is a factor of ALL of the original terms. Steps: 1.Look at the factors of the smallest coefficient. 2.The GCF is the largest factor that goes into ALL of the other coefficients. 3.For each variable that ALL of the terms have, the GCF is always the smallest exponent.

4. Finding the GCF Find the GCF of each set of monomials. 1)12, 42 2)48, 60

5. For variables that ALL terms have in common, the GCF is always the smallest exponent that you have of each variable. 3)x 3, x 5 4)z 4, z 2

6. 5)12a 5, 18a 2 6)18xy, 36y 2 7)36x 2 y, 54 xy 2 z 8)12a 5 c 7, 24a 3 b 2 c, 18a 10 b 4 c 3

8. Factoring To factor an expression means to break it up into two or more things that multiply to the original expression.

9. Factoring Using the GCF Factoring with a GCF is basically the opposite of using the distributive property. 4a (3a + 4) 12a 2 + 16a

10. Factoring Using the GCF Steps: 1)Find the GCF of ALL of the terms. The GCF will be on the outside of the ( ). 2)Divide each original term by the GCF to get each term inside the ( ). * You always have to have the same number of terms inside the ( ) as you started with.

11. 9)Factor 25a 2 + 15a

12. 10) Factor 18x 2 – 12x 3

13. 11) Factor 28a 2 b + 56abc 2

14. 12) Factor 28a 2 + 21b – 35b 2 c 2

15. 13)Factor 3x 2 y – 27x 5 y 3 z + 18x 3 y 7 z 2

16. 14) Factor 16xy 2 - 24y 2 z + 40y 2 1.2y 2 (8x – 12z + 20) 2.4y 2 (4x – 6z + 10) 3.8y 2 (2x - 3z + 5) 4.8xy 2 z(2 – 3 + 5)

17. 15) Factor 20x 2 – 24xy 1.x(20 – 24y) 2.2x(10x – 12y) 3.4(5x 2 – 6xy) 4.4x(5x – 6y)

18. Homework Worksheet pg. 529 #’s 1 – 12