Name: ________________________ Date: ___________________ Period: ____________ Algebra 2: Section 4.4 Notes Example 1: Multiply the two binomials. **This is a double distribution! (2 x 4)(x 1) ___(x 1) ___(x 1) = Example 2: Write an expression for the area of the rectangle. Example 3: Find the missing terms in the figure below. Above is an organizer to assist in multiplying binomials. When we multiplied, we often get a quadratic. The ________________of a quadratic is ax 2 bx c 0 . Today, we will see two methods to factor! **essentially we are “undoing” the multiplication Example 4: Box Method Factor by Grouping 2x 7x 5 2x2 7 x 5 2 Step 1: Find the product ( ac ) Step 2: Find the sum (b). Step 3: Rewrite ( ) +( ) Step 4: Factor out a GCF (and work backwards to match) ___ ( Step 5: Write in factored form. ) + ___( ) Example 5: Box Method Factor by Grouping 3x 8 x 4 3x 2 8 x 4 Box Method Factor by Grouping 2 Step 1: Find the product ( ac ) Step 2: Find the sum (b). Step 3: Rewrite Step 4: Factor out a GCF (and work backwards to match) Step 5: Write in factored form. Example 6: x 5x 6 2 Step 1: Find the product ( ac ) Step 2: Find the sum (b). Step 3: Rewrite Step 4: Factor out a GCF (and work backwards to match) Step 5: Write in factored form. x2 5x 6 Try It: Pick the method of your choosing. a) Factor 2 x 2 7 x 3 Box Method Factor by Grouping 2x 7x 3 2x2 7 x 3 2 Step 1: Find the product ( ac ) Step 2: Find the sum (b). Step 3: Rewrite ( ) +( ) Step 4: Factor out a GCF (and work backwards to match) ___ ( Step 5: Write in factored form. b) Factor 3x 2 5 x 12 Step 1: Find the product ( ac ) Step 2: Find the sum (b). Step 3: Rewrite Step 4: Factor out a GCF (and work backwards to match) Step 5: Write in factored form. ) + ___( )