Algebra 1 Ch.10 Notes Page 58 P58 10­4   Factoring to Solve Quadratic Equations

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A110­4FactoringtoSolveQuadEqFall14.notebook
October 23, 2014
Algebra 1
Ch.10 Notes Page 58
P58 10­4 Factoring to Solve Quadratic Equations
Sep 2­8:31 AM
1
A110­4FactoringtoSolveQuadEqFall14.notebook
October 23, 2014
Zero Product Property
If ab = 0, then a = 0 or b = 0
What can x = to give you a zero in part of the problem???
(x + 5)(2x ­ 6) = 0
(x + 7)(x ­ 4) = 0
(3x ­ 6)(4x + 2) = 0
Apr 21­8:42 AM
2
A110­4FactoringtoSolveQuadEqFall14.notebook
October 23, 2014
Solving by Factoring
1. Factor (Mult. to ac and Add to b)
2. Use Zero product property to find zeros
x2 ­ 8x ­ 48 = 0
2
x + 6x + 8 = 0
Apr 30­8:42 AM
3
A110­4FactoringtoSolveQuadEqFall14.notebook
October 23, 2014
Solving by Factoring
1. Factor (Mult. to ac and Add to b)
2. Use Zero product property to find zeros
x2 ­ 12x = ­36
2
2x ­ 5x = 88
Apr 30­8:42 AM
4
A110­4FactoringtoSolveQuadEqFall14.notebook
October 23, 2014
Substitution Activity
Use Substitution and Factoring to solve this system of equations...
Where do the equations Cross? (Without Graphing)
y = x2 + x ­ 2
y = ­x + 1
Apr 30­8:43 AM
5
A110­4FactoringtoSolveQuadEqFall14.notebook
October 23, 2014
HW #66
10­3 P567 #1­18
10­4 P574 #1­6,9­20
Please put your name and class period at the top of the homework.
Also include the homework number.
Nov 19­2:32 PM
6
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