1. Section 5-3: Factoring x 2 + bx + c Goal: Factor trinomials of the form x 2 + bx + c

2. Warm Ups Find the product: 1. (m – 8)(m – 9) 2. (z + 6)(z – 10) 3. (y + 20)(y – 20) 4. (d + 9) 2

3. Signs: ProblemAnswer + +( + )( + ) - +( - )( - ) + - Different signs, - - Bigger number gets first sign

4. Example 1: Factor x 2 + bx + c when c is positive A. x 2 + 5x + 6B. y 2 – 6y + 8

5. Additional Examples: A. x 2 + 14x + 48B. x 2 – 5x + 6

6. Example 2: Factor x 2 + bx + c when c is negative A. x 2 + 8x - 9B. z 2 – 14z - 15

7. Checkpoint: x 2 + 6x + 5 b 2 + 7b + 12 s 2 – 5s + 4 y 2 + 11y – 12 x 2 + x – 6 x 2 - 15x - 16

8. Example 3: Solve a Quadratic Equation by factoring x 2 + 2x = 15

9. Checkpoint: x 2 - x = 42y 2 + 5y = 14

10. Checkpoint: x 2 – 10x + 9 = 0x 2 - 5x = -4

11. Homework