1. 6.6 Factoring Quadratics with Composite Leading Coefficients Objective: Be able to factor quadratics that start with a composite number.

2. Example 1 Factor this quadratic: 6x 2 – 7x – 20 Step one: 6 -20 = -120 Step two: Find a factor pair of -120 whose sum is -7.

3. Example 1 Factor this quadratic: 6x 2 – 7x – 20 Step three: Template (6x)(x) (3x)(2x) 8 and -15 One of these can’t work. Which one can we rule out?

4. Example 1 Factor this quadratic: 6x 2 – 7x – 20 Step four: (3x)(2x ) Choose values that create the 8 and -15 from step 2. + 4– 5

5. Example 1 Factor this quadratic: 6x 2 – 7x – 20 Step five FOIL to check your work: (3x)(2x ) 6x 2 – 15x + 8x – 20 6x 2 – 7x – 20 + 4 – 5

6. Example 2 Factor this quadratic: 4x 2 – 12x + 9 Step one: 4 9 = 36 Step two: Find a factor pair of 36 whose sum is -12.

7. Example 2 Factor this quadratic: 4x 2 – 12x + 9 Step three: Template (4x)(x) (2x)(2x) -6 and -6 One of these can’t work. Which one can we rule out?

8. Example 2 Factor this quadratic: 4x 2 – 12x + 9 Step four: (2x)(2x ) Choose values that create the -6 and -6 from step 2. – 3

9. Example 2 Factor this quadratic: 4x 2 – 12x + 9 Step five FOIL to check your work: (2x)(2x ) 4x 2 – 6x – 6x + 9 4x 2 – 12x + 9 – 3

10. Assignment 6.6 Worksheet