1. Objective The student will be able to: factor trinomials with grouping. SOL: A.2c Designed by Skip Tyler, Varina High School; edited by Tonya Jagoe

2. 1) Factor 5x 2 - 17x + 14 Check for GCF first. Then, create your MAMA table. MultiplyAdd +70 -17 Product of the first and last coefficients Middle coefficient -1, -70 -2, -35 -7, -10 -71 -37 -17 Replace the middle term. 5x 2 – 7x – 10x + 14 Now… create your factoring box. M A

3. (x – 2)(5x – 7) Replace the middle term. 5x 2 – 7x – 10x + 14 Now… create your factoring box. 5x 2 – 7x – 10x+ 14 GCF x – 2 5x– 7 5x – 7 Check using your calculator!

4. 2) Factor 2x 2 - 14x + 12 MultiplyAdd +6 -7 Find the GCF! 2(x 2 – 7x + 6) Now do the MAMA table! -7 -5 Replace the middle term. 2[x 2 – x – 6x + 6] Now… create your factor box. -1, -6 -2, -3

5. 2(x – 6)(x – 1) x2x2 – x – 6x+ 6 GCF x – 6 x– 1 x Check using your calculator! Replace the middle term. 2[x 2 – x – 6x + 6] Now… create your factor box. Don’t forget your GCF!

6. Factor 2x 2 + 9x + 10 1.(2x + 10)(x + 1) 2.(2x + 5)(x + 2) 3.(2x + 2)(x + 5) 4.(2x + 1)(x + 10)

7. Factor 6y 2 – 13y – 5 1.(6y 2 – 15y)(+2y – 5) 2.(2y – 1)(3y – 5) 3.(2y + 1)(3y – 5) 4.(2y – 5)(3y + 1)