1. Lesson 7-3 Factoring x² + bx + c
Obj: The student will be able to factor quadratic trinomials of the form x² + bx + c HWK: p all

2. Case #1
(x + 2)(x + 5) (c + 3)(c + 7) x² + 7x + 10 c² + 10c + 21 What do you notice about the terms in each trinomial compared to the binomials? What do you notice about the middle term in each trinomial compared to the binomials?

3. Case #2
(x – 4)(x – 6) (x – 5)(x – 3) x² - 10x + 24 x² - 8x + 15 What do you notice about the terms in each trinomial compared to the binomials? What do you notice about the middle term in each trinomial compared to the binomials?

4. Case #3
(x – 4)(x + 1) (x + 5)(x – 2) x² - 3x – 4 x² + 3x – 10 What do you notice about the terms in each trinomial compared to the binomials? What do you notice about the middle term in each trinomial compared to the binomials?

5. Rules
If trinomial looks like: The factored form looks like

6. Factor each trinomial
Ex 1) x² + 4x Ex 2) x² - 7x + 6

7. Ex 3) m² + 3m Ex 4) p² - 7p + 12

8. Ex 5) m² + 4m – Ex 6) x² - 3x – 4

9. Ex 7) x² + 5x Ex 8) x² + 2x – 15

10. Ex 9) x² - 13x Ex 10) x² + 10x + 24

11. Ex 11) x² - 8x – 20

12. Ex 12)a) Find the value of n² - 7n + 10 for n = 0, 1, 2, 3, and 4

13. c) Find the value of the factored form for n = 0, 1, 2, 3, and 4
Ex 12)b) Factor n² - 7n + 10
c) Find the value of the factored form for n = 0, 1, 2, 3, and 4

14. Ex 12)d) Are the values the same? Explain why or why not?