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

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Presentation transcript:

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

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

Diamond-Box Method 4/13/2010Medina3

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:

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

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:

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

Diamond-Box Method 4/13/2010Medina8

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:

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.

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:

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.

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

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

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

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

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