Factoring Trinomials By Grouping Method Factoring 5/17/20121Medina.

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Presentation transcript:

Factoring Trinomials By Grouping Method Factoring 5/17/20121Medina

Factoring by Grouping 4/13/2010Medina2

Solving Quadratic Equations by Grouping 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  Grouping Step 3: Using the zero product property to solve for x

Trinomials 5/17/2012Medina4 1.Factor out the GCF other than 1. 2.Set up Diamond Problem 3.Set up polynomials as 4 terms 4. Split polynomial in half and factor out GCF of each group. 5. Common binomial is one factor and leftovers is other factor 6. Write final answer as a product of original GCF & binomial factors

Solving Quadratic Equations by Grouping 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 5/17/2012Medina6 1.Factor out the GCF other than 1. 2.Set up Diamond Problem 3.Set up polynomials as 4 terms 4. Split polynomial in half and factor out GCF of each group. 5. Common binomial is one factor and leftovers is other factor 6. Write final answer as a product of original GCF & binomial factors

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

Trinomials 5/17/2012Medina8 1.Factor out the GCF other than 1. 2.Set up Diamond Problem 3.Set up polynomials as 4 terms 4. Split polynomial in half and factor out GCF of each group. 5. Common binomial is one factor and leftovers is other factor 6. Write final answer as a product of original GCF & binomial factors

Solving Quadratic Equations by Grouping 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 5/17/2012Medina10 1.Factor out the GCF other than 1. 2.Set up Diamond Problem 3.Set up polynomials as 4 terms 4. Split polynomial in half and factor out GCF of each group. 5. Common binomial is one factor and leftovers is other factor 6. Write final answer as a product of original GCF & binomial factors

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

Solving Quadratic Equations by Grouping 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 Grouping 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 Grouping 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