1. FOIL: Trinomial Factoring with lead coefficient of one
Trinomials in the form: x2 + bx + c
FOIL:
Notes:

2. Ex1. x2 + 7x + 10 ( ) ( ) What must be the first term in each factor?
Factoring is the opposite of FOIL
Ex x2 + 7x + 10
  ( ) ( )
What must be the first term in each factor?
The last terms has to have a product of 10, but a 
sum of 7. What can the last terms be?

3. Try some with all positive signs. b and c are positive
x2 + 3x + 2
x2 + 7x +12
x2+14x+40

4. Try some where the second term is negative and 
the third term is positive
b is negative and c is positive
The sum must be negative
The product must be positive
What does that mean about 
the numbers you select?
x2 - 5x + 6
Both numbers will be negative

5. x2 - 9x + 20
x2 -10x + 16
x2- 17x + 30

6. x2 +7x -18 Factoring when b is positive and c is negative
The sum must be positive
The product must be negative
What does that mean about the 
numbers you select?
One number is positive and one 
number is negative

7. x2 + 5x - 14
x2 +11x - 26
x2 + 10x - 200

8. x2 - 2x - 8 Factoring when b and c are negative
The sum must be negative
The product must be negative
What does that mean about the 
numbers you select?
x2 - 2x - 8
One number is negative and one is positive

9. Using the Discriminant to determine if the trinomial is factorable
b2 4ac
if the discriminant is a perfect square it is factorable
if the discriminant is not a perfect square it is not factorable
Use the discriminant to tell if the trinomial is factorable. If it is 
factorable, write the factorization.
1.) x2 + 3x 4
2.) x2 + 3x 6

10. Solve the quadratic equations. ex 1: x2 - 8x + 15 = 0
Steps:
1). Eq. in standard form
2). discriminant: 
a). perfect sq.- factor
b). not a perfect sq.-
quadratic formula
3). zero product property
4). Solve

11. ex 2: x2 + 4x = 21
ex 3: x2 - 9x + 12= 0

12. 4.) x2 + 5xy -14y