Chapter 8.6(a) Solving Quadratic Equations by Factoring.notebook
March 01, 2017
Bellwork:
1) Identify the Independent and Dependent Variables and Write in function notation.
a. A buffet charges $8.95 per person.
b. A moving company charges $130 for weekly truck rental plus $1.50 per mile.
2) Evaluate: f(x) = 3x + 2, find f(x) when x = 7 and when x = ­4
Solve 3) Graphing: 4x ­ 5 = x2
x2­ 4x + 5 = 0 Chapter 8.6 Solving Quadratic Equations by Factoring
Be able to solve quadratic equations by factoring. Axis of Symmetry x = ­b/2a
Vertex (x, y)
y ­ int (0, y)
extra point:
reflect
Feb 23­4:18 PM
We can factor quadratic equations and then use the Zero Product Property to solve. Factor the following:
a. x2 + 4x ­ 12
Feb 23­4:23 PM
b. 5p2 ­ 15p
Zero Product Property (for all real numbers a and b) b. 3x2 ­ 14x + 8
Words
Numbers
Algebra
If the product of two quantities equals zero, at least one of the quantities equals zero.
3(0) = 0
0(4) = 0
If ab = 0, then a = 0 or b = 0
Mar 4­7:46 AM
Feb 23­4:24 PM
1) Using the zero product property to solve equations.
a. (x ­ 7)(x + 2) = 0
2) Solving Quadratic Equations by Factoring.
Use Zero Product Property and set both factors equal to zero.
a. x2 ­ 6x + 8 = 0
Standard Form
Solve each equation
Factor the trinomial
Check Answer
Use Zero Product Property (set all factors = 0)
Solve each equation
b. x(x ­ 2) = 0
Check answer
Feb 23­4:28 PM
Feb 23­4:29 PM
1
Chapter 8.6(a) Solving Quadratic Equations by Factoring.notebook
2) Solving Quadratic Equations by Factoring.
b. x2 + 4x = 21
Standard Form
2) Solving Quadratic Equations by Factoring.
c. x2 ­ 12x + 36 = 0
Standard Form
Factor the Factor the Use Zero Product Property Use Zero Product Property Solve Solve Check Check Feb 23­4:32 PM
2) Solving Quadratic Equations by Factoring.
d. ­2x2 = 20x + 50
March 01, 2017
Feb 23­4:33 PM
2) Solving Quadratic Equations by Factoring.
e. 3x2 ­ 5x = ­2
Standard Form
Standard Form
Factor the Factor the Use Zero Product Property Use Zero Product Property Solve Solve Check Check Feb 23­4:33 PM
Feb 23­4:34 PM
2) Solving Quadratic Equations by Factoring.
f. 6x2 = ­10x + 4 Standard Form
Factor the Use Zero Product Property Homework
P. 565 #1­17, 21­31, 39 (odds)
Solve Check Feb 23­4:35 PM
Feb 23­4:36 PM
2