1. Day 9: Factoring Goal: To factor polynomials by using the greatest common factor Standard: 9.2.3.3 – Factor common monomial factors from polynomials, factor quadratic polynomials, and factor the difference of two squares. Guiding Question: How do I find the greatest common factor of a polynomial? Materials: Pencil, Folder, Student Packet 1

2. Solve the proportion: "Make sure x is in the numerator and solve" Find 10%, 20%, 50% and 100%: 90 "Find 10% by moving the decimal one place, and use it to find the others.” Percent Problems: What is 22% of 31? "Write an equation, is =, of x, and solve for x." Reflection Starters: “I know……” or “I need to work on……” Menta l Math Math Review Day 9 2

3. Access: Simplify: A)2(w + 1) B) 3x(x 2 - 4) C) (x + 3)(x + 8) Write the prime factorization (factor tree) A) 20 B) 50 C) 17 D) 38 3

4. What is the greatest common factor: A)100 and 60 B) 26 and 52 C) 18 and 27 Try) D) 12 and 16 E) 15 and 25 F)55 and 121 4

5. Find the GCF of the pair of monomials: A) 15x 3 and 9x 2 B) 8x 2 and 7y 3 C)3x 3 and 6x 2 Try: D) 18g 2 and 27g 3 E) 16a 6 and 9b F) 8x and 7x 2 5

6. Word Problems: A cafeteria has 18 chocolate milk cartons and 24 regular milk cartons. The cook wants to arrange the cartons with the same number of cartons in each row. Chocolate and regular milk will not be in the same row. How many rows will there be if the cook puts the greatest possible number of cartons in each row? 6

7. Try: Samantha is making beaded necklaces using 54 glass beads and 18 clay beads. She wants each necklace to have the same number of beads, but each necklace will have only one type of bead. If she puts the greatest number of beads on each necklace, how many necklaces can she make? 7

8. Factor each polynomial: A)2x 2 - 4 B) 8x 3 – 4x 2 - 16x C) -14x – 12x 2 D) 3x 3 + 2x 2 – 10 Try: E) 5b + 9b 3 F) 9d 2 – 8 2 G) -18y 3 – 7y 2 H) 8x 4 + 4x 3 – 2x 2 8

9. Factor each expression A)5(x + 2) + 3x(x + 2) B) -2b(b 2 + 1) + (b 2 + 1) Try: C) 4s(s+ 6) - 5(s+6) D) 3x(y + 4) - 2y(y+4) 9

10. Work Time: Work through pages 25 and 26 in your packet Exit Slip at: _________ 10

11. Exit Slip: (on a half-sheet of scratch paper) PM: Multiply A) 2x(3x 2 + 9x - 8) B) (x - 6)(x+6) NM: Find the GCF: A)18 and 75 B) 12x and 28x 3 Factor: A)16x + 20x 3 B) 4m 4 – 12m 3 + 8m C) 7k(k-3) + 4(k-3) Make sure your name is on it, and turn it in! 11