Chapter 7 Factoring
Methods
Ms. Fisher
7.3 Factoring
x² +bx +c TUES 02/03
8:46-9:42am
Objective: Factor Quadratic trinomials
What is a Quadratic trinomial? CH6
Exponent to the 2nd power= quadratic
Three terms
x² +bx +c
Begin
Warm-Up
Warm-Up: What are the factors of 18? Everyone Whole Group
Remember the definition of factor:
 Factors: Numbers that are multiplied to find a product. A
number is divisible by its factors.
18
9
18
6
2
1
3
7.3 Factoring
x² +bx +c
Agenda: Whole group- Introduce section 7.3 Warm-up
Station Rotations: 14 mins each
Teacher
Station #1: James, Nikki, and Eric
Mrs. R
Station #2: Alex, Maddie, Christian
Study Island/break
Station #3: Leo, and Melody
Station 1: When in station 1 you will be taught the lesson
Station 2: When in station 2 you will do independent work
and practice the skill set you were just taught. Mrs. R will be
there to assist you if needed.
Station 3: Study Island then Break
Set Timer 14 mins
7.3 Factoring
x² +bx +c
In this lesson you will learn how to factor a trinomial into two
binomials
x² +bx +c
(x+_) (x+_)
Remember the definition of factor:

Find two FACTORS of c whose sum is b
What does that
mean?
If no such integers exist, the trinomial is not factorable!
Example:
Factors of 18
1*18 = 18
x² +9x +18
Sum
1 and 18
19 1+18 = 19 not 9 NO
2 and 9
11
3 and 6
9
NO
YES!!!
3+6= 9
3*6
(x+3) (x+6)= x²
Back to slide #4
Formula for Factoring Trinomials
ax² + bx + c
1.Identify a, b, and c in the trinomial ax² + bx + c
2. Write down all factor pairs of c
3. Identify which factor pair adds up to equal b
4. Identify which factor pair multiplied together
equals c
5. Substitute factor pairs into 2 binomials
7.3 Factoring
x² +bx +c
How do you check your answer? Use the FOIL method!!
(x+3) (x+6) should equal x² +9x +18
X * X = X²
X * 6 = 6X
3 * X = 3X
3 * 6 = 18
X² +9X +18 YES!! Works!!
First Outer Inner Last
Independent Work Time
Small
group with Ms. Fisher Station #1
page 476 #’s 4-15 – White boards needed
Independent work Time Station #2 Page
476 20-31- Textbooks and Paper needed
Station 3: IPAD and Laptop
Station #2: Factor Each Trinomial
4. x² + 4x +3
(x+3) (x+1) b/c 3 * 1= 3 and 3+1 = 4
5. x² +10x + 16
(x+2) (x+8)
b/c 8 * 2= 16 and 8+2= 10
6. x² +15x+44
(x+11) (x+4) bc 11*4 = 44 and 11+4 = 15
7. x² -7x +6
(x-6) (x-1)
bc -6 * -1= 6 and -6- 1= -7
Station #2: Factor Each Trinomial
8. x² -9x +14
(x-7) (x-2) bc -7 * -2 = 14 and -7-2= -9
9. x² -11x +24
(x-8) (x-3) bc -8 * -3 = 24 and -8-3= -11
10. x² -6x -7
(x-7) (x+1) bc -7 * 1= -7 and -7+1 = -6