1. Unit 8, Lesson 7a

2. (x+3)(x+2) Multiplying Binomials (FOIL) FOIL = x 2 + 2x + 3x + 6 = x 2 + 5x + 6

3. Factoring Trinomials in 3 Steps Step 1: List all pairs of numbers that multiply to equal 12. Factor x 2 + 7x + 12 into two binomial factors. 12 = 1 12 = 2 6 = 3 4

4. Step 2: Choose the pair that adds up to 7. 12 = 1 12 = 2 6 = 3 4 Factor x 2 + 7x + 12 into two binomial factors. Factoring Trinomials in 3 Steps

5. Step 3: Use those numbers to build your binomials. 12 = 1 12 = 2 6 = 3 4 ( x + )( x + ) 34 Factor x 2 + 7x + 12 into two binomial factors. Factoring Trinomials in 3 Steps

6. Step 1: Find the factors of 15. Step 2: Identify the pair that has a sum of 8. Factors of 15 Sum of Factors 1 and 15 16 3 and 5 8 (x + 3)(x + 5)

7. Since the middle term is negative, find the negative factors of 20. (c – 5)(c – 4) Factors of 20 Sum of Factors –1 and –20 –21 –2 and –10 –12 –4 and –5 –9

8. Factor each trinomial. Watch out for signs! 1)x 2 + 12x + 32 2)x 2 –10x + 24 Factor These Trinomials