1. Warm Up Factor the following quadratic expressions. 4x2 + 32x

2. HW Check
5. Line of symmetry: k = 5.5; vertex (5.5, ) k = 3, 8 6. Line of symmetry: x = -4.5; vertex (-4.5, -2.25) n = -3, Line of symmetry: x = -2.5; vertex (-2.5, ) v = 1, Line of symmetry: x = -2; vertex (-2, 0) k = -2
9. Line of symmetry: x = 3.5;
vertex (3.5, -0.25)
v = 3, 4
10. Line of symmetry: x = -3
vertex (-3, -25)
n = 2, -8
11. Line of symmetry: x = -1.5
vertex: (-1.5, -0.25)
r = -1, -2
12. Line of symmetry: x = -0.5
vertex: (-0.5, -2.25)
b = -2, 1

3. HW Check
13. Line of symmetry: x = 3.25 vertex (3.25, ) n = -0.5, Line of symmetry: x = 1.33 vertex (1.33, ) x = -1.33, Line of symmetry: x = vertex (3.5625, ) n = 0.125, Line of symmetry: x = vertex (-3.28, ) n = -0.57, -6
17. Line of symmetry: x = -2.86
vertex (-2.86, )
a = , -5
18. Line of symmetry: x = 0.986
vertex (0.986, -6.01)
x = 0.571, 1.4

4. Solving Quadratic Equations by Factoring
Unit 7 Day 2
Solving Quadratic Equations by Factoring

5. Teach me how to Factor… GCF (Greatest Common Factor)
Ex: 3x2 - 18x
Difference of Squares
Ex: x2 - 81
Trinomals where a = 1
Ex: x2 + 4x - 12
Trinomials where a does not equal 1
Ex: 3x2 + 14x - 5

6. Steps to Solve by Factoring:
Step 1: Set the equation equal to zero (arrange in standard form) Step 2: Factor Completely! Step 3: ZPP! Step 4: Solve each equation.

7. Example 1: Solving by Factoring
Step 1) Write in standard form.
Step 2) Factor.
Step 3) Use the Zero-Product Property.
Step 4) Solve for x.
X = 2.5, 3

8. Example 2: Solving by Factoring
Step 1) Write in standard form.
Step 2) Factor.
Step 3) Use the Zero-Product Property.
Step 4) Solve for x.
X = 2, -9

9. Example 3: Solving by Factoring
3. X = 1, -3; x = -1, 6

10. Example 5: Solve by Factoring