9.1 solving quadratics by factoring.notebook · 2015-03-09 · 9.1 solving quadratics by...
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9.1 Solving Quadratics by Factoring.notebook March 07, 2016
March 7th
Quiz on Friday
Due Next Class: 9.1 HW
Get Ready:
Unit 9: Quadratic Functions
Lesson 9.1 Solving Quadratic Equations by Factoring
1) How do solutions affect mathematical statements?
2) Find the solutions to each of the following mathematical statements and check if they are correct.
a. 5 = 2x + 3 b. x2 2x 3 = 0
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
Linear Equations vs. Quadratic Equations
Degree:
Standard Form:
5 = 2x + 3 x2 2x 3 = 0
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
Mathematical Magic
If (x)(y) = 0
Then what are possible values for x & y???
(x+4)(x7) = 0What is this statement saying?
How could we find possible values of x?
If the product of 2 #'s is 0, the one of the #'s must be zero.
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
How do they differ?
x2 + 2x 15 = 0
x2 + 2x 15
What value of x will make the equation equal to zero?
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
Steps for Solving Quadratic Equations
1) Put the equation into Standard Form set equal to 0
2) Factor the quadratic (GCF, DM, DOTS, ACGC)
3) Set each factor equal to 0 and solve
4) Check each solution individually by plugging back into the original equation
5) Write out the solutions
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
x2 + 2x 15 = 0 1) Put the equation into Standard Form set equal to 0
2) Factor the quadratic (GCF, DM, DOTS, ACGC)
3) Set each factor equal to 0 and solve
4) Check each solution individually by plugging back into the original equation
5) Write out the solutions
x2 + 2x 15 = 0
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
x2 + 11x + 30 = 5 + x1) Put the equation into Standard Form set equal to 0
2) Factor the quadratic (GCF, DM, DOTS, ACGC)
3) Set each factor equal to 0 and solve
4) Check each solution individually by plugging back into the original equation
5) Write out the solutions
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
3x2 + 3x + 5 = 2x + 1
1) Put the equation into Standard Form set equal to 0
2) Factor the quadratic (GCF, DM, DOTS, ACGC)
3) Set each factor equal to 0 and solve
4) Check each solution individually by plugging back into the original equation
5) Write out the solutions
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
3x2 + 2x 31 = 7 4x2
1) Put the equation into Standard Form set equal to 0
2) Factor the quadratic (GCF, DM, DOTS, ACGC)
3) Set each factor equal to 0 and solve
4) Check each solution individually by plugging back into the original equation
5) Write out the solutions
9.1 Solving Quadratics by Factoring.notebook March 07, 2016
Try it yourselfie
9.1 Solving Quadratics by Factoring.notebook March 07, 2016