2. To find the GCF of two or more monomials

3. To find the missing factor, given a monomial and one of its factors.Frameworks: 10.P.5

4. How could you rearrange 12 tiles to form a rectangle?

5. Factoring To factor an integer means to express it as the product of 2 or more integers. 12 = 1 x 12 12 = 2 x 6 12 = 3 x 4

6. Factoring 12 = 2 x 6 could also be expressed as 12 = 2 x 3 x 2 In the second case, none of the factors can be factored further without using the factor 1. 2 and 3 are called prime numbers

7. Prime Numbers A prime number is an integer greater than 1 whose only positive factors are 1 and itself. Can you think of examples? 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

8. Composite Numbers A composite number is a positive integer that has two or more positive factors other than 1 Can you think of examples? 4, 6, 8, 9, 10, 12, 14, 15 1 is neither prime nor composite

9. Prime factorization A factorization where all the factors are prime numbers 12 = 2 x 2 x 3 36 = 2 x 2 x 3 x 3

10. Give the prime factorization of 90: Choose 2 positive factors of 90. Continue factoring until all the factors are prime numbers.

11. Give the prime factorization of 100: Choose 2 positive factors of 100. Continue factoring until all the factors are prime numbers.

12. Can there be more than 1 prime factorization of a number? No.

13. GCF – Greatest Common Factor The greatestcommon factor (GCF) of two or more integers is the largest integer that is a factor of all the integers.

14. Find the GCF of 72 and 84 72 = 12 * 6 = 84 = 14 * 6 =

15. Find the GCF of 36 and 90

16. Find the GCF of 12x4 and -28x3 and 120 x2

17. Find the GCF of 84y3and -96y6and -196y5

18. To find a missing factor, divide. For example, x3 * ____ = x7 x7 x3 So, the answer is x4

19. Find the missing factor: a5 * ____ = a9 ___ * 5a = -30a10 3a3b5 * ____ = 24a4b7

20. Do p. 246 1-21

22. FOIL Review (x + 3)(x + 5) First terms: x and x x2 Outside terms: x and 5 5x Inside terms: 3 and x 3x Last terms: 3 and 5 15 Answer: x2 + 8x + 15

23. FOIL pattern . . .

24. Homework