1. Lesson 9.3 Factoring Trinomials: x² + bx + c
Objectives:
To factor trinomials of the form x² + bx + c
To solve equations of the form x²+ bx + c = 0

2. Factoring x² + bx + c (x + )(x + )
To factor a trinomial of the form x² + bx + c
find two numbers with the sum of the middle term b and product of the last term c.
Example: x² + 11x + 24
Factors of 24
Sum of 11
sum of 11
product of 24
(x + )(x + )
Note: X² will always factor into x and x

3. Ex. 1: Factor each trinomial.
x² + 7x + 12
2. x² - 12x + 27

4. 3. x² + 3x - 18
4. x² - x - 20

5. a + a²
6. x² - 4xy + 3y²

6. Your turn……
p² - 2p – 35
h² + 3h - 40
c² - 3c + 2
c² + 12c + 35

7. Some equations of the form x² + bx + c = 0 can be solved by factoring and then using the Zero Product Property.

8. Ex. 2: Solve each equation.
1. x² + 16x + 28 = 0
2. y² + 4y – 12 = 0

9. 3. z² = z
4. c² - 50 = -23c

10. Your turn…
5. x² + 2x = 15
6. 14p + p² = 51

11. SUMMARY To factor a trinomial of the form x² + bx + c
find two numbers with the sum of the middle term b and product of the last term c.
To solve an equation of the form x² + bx + c = 0, set
the equation equal to zero, factor, and use the
Zero Product Property to solve.
NBA #3, page 493, problems even