1. Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply. 1 and 8 r 2 – 4r – 45 –2 and –15 x 2 + 5x + 63. (x +2)(x +3) 4. (r + 5)(r – 9)

2. Holt Algebra 1 8-3 Factoring x 2 + bx + c Simplify. c.

3. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor quadratic trinomials of the form x 2 + bx + c. Objective

4. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial by guess and check. x 2 + 10x + 24

5. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial by guess and check. x 2 + 7x + 12

6. Holt Algebra 1 8-3 Factoring x 2 + bx + c x 2 + 6x + 5 Factor each trinomial. Check your answer.

7. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 + 6x + 9

8. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 – 8x + 15

9. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 – 5x + 6

10. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 + 13x + 42

11. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 – 13x + 40

12. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor x 2 + x – 20

13. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. x 2 – 3x – 18

14. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 + 2x – 15

15. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor each trinomial. Check your answer. x 2 – 6x + 8

16. Holt Algebra 1 8-3 Factoring x 2 + bx + c X 2 – 8x – 20 Factor each trinomial. Check your answer.

17. Holt Algebra 1 8-3 Factoring x 2 + bx + c A polynomial and the factored form of the polynomial are equivalent expressions. When you evaluate these two expressions for the same value of the variable, the results are the same.

18. Holt Algebra 1 8-3 Factoring x 2 + bx + c Factor y 2 + 10y + 21. Show that the original polynomial and the factored form have the same value for y = 0, 1, 2, 3, and 4.

19. Holt Algebra 1 8-3 Factoring x 2 + bx + c Evaluate the original polynomial and the factored form for y = 0, 1, 2, 3, and 4. (y + 7)(y + 3) (0 + 7)(0 + 3) = 21 (1 + 7)(1 + 3) = 32 (2 + 7)(2 + 3) = 45 (3 + 7)(3 + 3) = 60 (4 + 7)(4 + 3) = 77 y 0 1 2 3 4 y 2 + 10y + 21 0 2 + 10(0) + 21 = 21 y 0 1 2 3 4 1 2 + 10(1) + 21 = 32 2 2 + 10(2) + 21 = 45 3 2 + 10(3) + 21 = 60 4 2 + 10(4) + 21 = 77 The original polynomial and the factored form have the same value for the given values of n.