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5 Solving by Factoring.notebook
Solving
SolvingQuadratic
QuadraticEquations
Equationsby
byFactoring
Factoring
Agenda
Monday Warm­Up
Warm-Up
Notes (Flip Book)
HW: Practice
3x = 0
Quiz Friday
EOC
Tues 3/31
This flip book contains your notes for the next 4 days.
Solving
The green sheet goes on the outside. Match your tabs so it looks like the right.
Reminders
Essential
Question
Solving
Solving Quadratic
Quadratic Equations
Equations Flip
Flip Book
Book
1. Solve the following equation.
#1-13
Simulation
March 23, 2015
2. If ab = 0, what do you know about either a or b?
Quadratic
Equations...
By Factoring
By Square Roots
How can I find the
zeros of a
By Quadratic Formula
quadratic function
by factoring?
Mar 23­1:31 PM
Solving
Solving Quadratic
QuadraticEquations
Equationsby
byFactoring
Factoring
Essential Question How can I find the zeros of a quadratic function by factoring?
Zero Product Property
Mar 23­1:31 PM
HW: Practice #1­13, NO WORK, NO CREDIT, NO KIDDING!!!
**See unit 8 for more factoring help**
Steps to Solve by Factoring:
1. Solve for y (and plug in y = 0)
2. Factor (don’t forget the GCF!)
3. Set each factor each to zero and solve
2.
Remember: Solutions are also called x­intercepts, roots, or zeroes.
3.
4.
Given the roots of the function, find the equation.
5.
6. Essential Question
How can I find the zeros of a quadratic function by factoring?
Mar 23­1:31 PM
Solving Quadratic Equations HW Help
No WORK, No CREDIT, No KIDDING!!
1. This quadratic is already factored. Set each factor equal to zero and solve for x!
2. Should factor to (2x ­ 3)(2x ­ 3)...there is only one solution!
3. Move everything over before trying to factor!
4. Should factor to (4x ­ 1)(3x + 1)
5. Factoring help: Think about what two numbers MULTIPLY to ­15 and ADD to 2. 6. You can divide each term by 2 once you solve for 0. Factor what's left over!
7 & 8. Remember, these problems work BACKWARDS! Set x = to both the roots, then solve for zero. Multiply these 2 factors together using the box!
9. Your FACTORS will always have opposite signs than the x­intercepts. So if your x­intercept is 1, your factor would be (x ­ 1)
10 is a test question...just kidding :)
11. Distribute w to the parenthesis and subtract 252 from both sides. The factors of ­252 that add to ­9 are 12 and ­21. Once you solve for w, remember that you can't have a negative width!
12. Factor out a negative 2. Your answer should be 1 second.
13. Area = length x width. Your quadratic should be w2 + 3w ­ 70 = 0. Factor, solve, and don't forget to also find the length!
Need extra pointers? Come to tutorials!!
Mar 23­1:31 PM
1
5 Solving by Factoring.notebook
March 23, 2015
Mar 23­1:41 PM
2