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.

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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 GCF = ___ a.3x+3 b.5x 2 -15x c.14x 3 +14x 2 GCF = ___ 3 5x 14x 2 Factoring Quadratic Formula Completing the Square

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

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)

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

Example B: a = ______ b = ______ c = ______ 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 ± x + 15x = 13x 2. Replace “bx” term in original eq. with factors 6x 2 –2x + 15x Group first 2 terms and last 2 terms. (6x 2 –2x) (+15x -5)

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)

PRACTICE

ADDITIONAL RESOURCE Factoring Quadratic Equations: When a = 1 : When a ≠1 :

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

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

BELL WORK 9/24

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

BELL WORK EXPANDED 9/24

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

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.

Practice: Quadratic Formula Solutions: 84. x = x = 3, x = 5, x = x = ½, 4

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