1. Chapter 5 Section 4
Factoring Trinomials

2. Find two numbers Sum is 11, product is 24 Sum is -14, product is 40

3. What is the sum and product?

4. Area Model
Factor: Sum is 11, product is 24. Two numbers are: 8 and 3 Make a box with 4 square inside.

5. Area Model
Factor:
2x2 8x 3x
Find the common factors and write on top and on the left side.

6. Factor 2x2 + 11x+12
x 4 2x 2x2 8x 3 3x 12 Answer: (x + 4)(2x + 3)

8. Factor 2x2 + 11x+12 Grouping Sum is 11, product is 24
Two number are 3 and 8
Rewrite the middle (linear) term using the two numbers.
2x2 + 3x + 8x +12
Factor by groups.

9. Continue 2x2 + 3x + 8x +12 Factor by groups (2x2 + 3x) + (8x +12)
Common factor
x(2x + 3) + 4(2x + 3)
(2x + 3)(x + 4)

11. Try
Factor: 3x2 + 8x + 5

12. Look at this
Factor: 3x2 + 3x – 18
Note: Find the common factor first.

13. On paper
Factor: 3x2 + 3x – 18

14. Factor
e) f) g)

15. Factor
h) i) j)

16. Summary Found two numbers that were the sum and product.
Factored a trinomial
Area model
grouping