1. WARM UP (9/21) 1. Find the Greatest Common Factor (GCF) [something that is common/divisible between both terms] 2. Name 3 methods for solving Quadratic Equations. 1. 2. 3. GCF = ___ a.3x+3 b.5x 2 -15x c.14x 3 +14x 2 GCF = ___ 3 5x 14x 2 Factoring Quadratic Formula Completing the Square

2. ALGEBRA 2H MRS. ENGLAND Week 5 Sept. 21-25 Topics: Factoring Quadratic Expressions & Equations Quadratic Formula

3. QUADRATIC FUNCTIONS Vocabulary: 1.Parabola: U-shaped graph of a quadratic 2.Vertex: lowest or highest point on graph of a quadratic 3.Axis of Symmetry: vertical line through the vertex Parent Function: y = x 2 Axis of Symmetry x = 0 (y-axis) Vertex (0,0)

4. 7-2 FACTORING QUADRATIC EXPRESSIONS Example A: a = ______ b = ______ c = ______ 1 12 32 SB pg. 108 1. Find factors of c that add to equal b 32 1 32 2 16 4 8 4 + 8 = 12 2. Write the sum of the factors as binomials. Write the factors as products. (x +4)(x+8)

5. Example B: a = ______ b = ______ c = ______ 6 13 -5 1. Find factors of a c that add to equal bx ± 2 15 **Note: 1 of the terms must be positive & other must be negative -30 ± 3 10 ± 5 6 -2x + 15x = 13x 2. Replace “bx” term in original eq. with factors 6x 2 –2x + 15x -5 3. Group first 2 terms and last 2 terms. (6x 2 –2x) (+15x -5)

6. 3. Group first 2 terms and last 2 terms. (6x 2 –2x) (+15x -5) 4. Pull out Greatest Common Factor (GCF) of each group. 2x(3x -1) +5 (3x-1) 5. Group outside terms and inside terms. These are your FACTORS. FACTORS: (2x+5) (3x-1) **Note: There will always be a common group in this step. Ex. (3x-1)

7. PRACTICE

8. ADDITIONAL RESOURCE Factoring Quadratic Equations: When a = 1 : https://www.youtube.com/watch?v=yfiMho1_t4khttps://www.youtube.com/watch?v=yfiMho1_t4k When a ≠1 : https://www.youtube.com/watch?v=VZBB17HJ7XUhttps://www.youtube.com/watch?v=VZBB17HJ7XU

9. 7-3 SOLVING QUADRATIC EQUATIONS BY FACTORING 1. Set equation = 0 2. Factor like we did in 7-2 and set each binomial = 0. 3. Solve for x. These are the solutions/x-intercepts (where graph crosses x-axis).

10. PRACTICE CONTINUED… HOMEWORK PRACTICE SB pg. 115 Lesson 7-3 Practice 11-19

13. BELL WORK 9/24

14. 8-1 COMPLEX/IMAGINARY NUMBERS SB pg. 123 Try These A

15. BELL WORK EXPANDED 9/24

16. METHODS FOR FINDING ZEROS OF QUADRATIC EQUATIONS 1. Factoring 2. Quadratic Formula 3. Completing the Square

17. 9-2 QUADRATIC FORMULA Another method for solving/finding zeros/x-intercepts of quadratic equations. Step 1: Identify a, b, & c. Step 2: Plug values into quadratic formula. Step 3: Solve for x.

18. Practice: Quadratic Formula Solutions: 84. x = -10 85. x = 3, 0 86. x = 5, -1 87. x = 8 88. x = ½, 4

19. HOMEWORK Activity Practice Lesson 8-1 SB pg. 135 #1-6