1. Factoring Trinomials Diamond Box Method Factoring 5/17/20121Medina

2. Solving Quadratic Equations by factoring Example: Step 1: Write equation in Standard Form ax ² + bx + c = 0 x² + 4x + 3 = 0 Step 2: Using factoring rules to factor  GCMF  Diamond  Box Step 3: Using the zero product property to solve for x

3. Diamond-Box Method https://www.youtube.com/watch?v=E8-hBg7LvRs 4/13/2010Medina3

4. Trinomials 5/17/2012Medina4 1.Factor out the GCF 2.Set up Diamond Problem 3.Set up Box to find common factors 4. Bring down GCF & Factors Step 1: Standard Form Step 2:

5. Solving Quadratic Equations by factoring Step 3: Solve for x using the zero product property

6. Trinomials 5/17/2012Medina6 1.Factor out the GCF other than 1 2.Set up Diamond Problem 3.Set up Box to find common factors 4. Bring down GCF & Factors * Note : When the first number is a negative, factor out the (- ) sign Step 1: Standard Form Step 2:

7. Solving Quadratic Equations by factoring Step 3: Solve for x using the zero product property

8. Diamond-Box Method https://www.youtube.com/watch?v=cvaW5p0vSzw 4/13/2010Medina8

9. Trinomials 5/17/2012Medina9 1.Factor out the GCF other than 1 2.Set up Diamond Problem 3.Set up Box to find common factors 4. Bring down GCF & Factors Step 1: Standard Form Step 2:

10. Solving Quadratic Equations by factoring Step 3: Solve for x using the zero product property ★ The GCF does not have a variable to solve for therefore we do not set it equal to 0.

11. Trinomials 5/17/2012Medina11 1.Factor out the GCF other than 1 2.Set up Diamond Problem 3.Set up Box to find common factors 4. Bring down GCF & Factors Step 1: Standard Form Step 2:

12. Solving Quadratic Equations by factoring Step 3: Solve for x using the zero product property ★ The GCF does not have a variable to solve for therefore we do not set it equal to 0.

13. Trinomials 5/17/2012Medina13 1.Factor out the GCF other than 1 2.Set up Diamond Problem 3.Set up Box to find common factors 4. Bring down GCF & Factors * Note : When the first number is a negative, factor out the (- ) sign

14. Solving Quadratic Equations by factoring Step 3: Solve for x using the zero product property

15. Solving Quadratic Equations by factoring Step 1: Write equation in Standard Form ax ² + bx + c = 0 Step 2: Using factoring rules to factor Step 3: Using the zero product property to solve for x

16. Solving Quadratic Equations by factoring Step 1: Write equation in Standard Form ax ² + bx + c = 0 Step 2: Using factoring rules to factor Step 3: Using the zero product property to solve for x

17. Solving Quadratic Equations by factoring Real World Problem Area = l w Area = x(x+4) Area = 21in² 21 = x(x+4) But distance can only be positive, therefore x =3