1. Today:
Factoring Unit Test Schedule
Warm-Up
2
Factoring Trinomials (x + bx + c)
Class Work

2. Factoring Test Schedule
1. Monday, March 4-- Prime Factorization, GCF,
Factoring using GCF
2. Friday, March 8-- Factor by grouping, Factoring
x2 + bx + c Trinomials
3. Thursday, March 14-- Factoring ax2 + bx + c
Trinomials, Solving Equations
4. Factoring Special Products, Factoring Difference of
Squares

3. Warm Up
1. Find the GCF: -18b4 & 27b2
2. What is the highest degree of the GCF for 80 & 96?
3. How many primes are there in the number 64?
Factor Out the GCF
4. Factor: 65ab3 - 45a2b2 5. Factor: 12x + 15xy + 21x3
6. Factor: j2 + 9k8

4. Factoring Trinomials ( x2 + bx + c)
1
One of the most common types of factoring in algebra is to
express a trinomial as the product of two binomials. We're
going to look at trinomials that have a coefficient of 1 for the
squared term.
To begin, let's FOIL the following binomial: (x + 2)(x + 4)
The result is: x2 + 4x + 2x + 8; x2 + 6x + 8
Key Point: Notice how the coefficient of middle term is
the sum of the F and the I in the FOIL process, and the
last term is the product of the O and the L.
Now, let's begin where we finished, with: x2 + 6x + 8. To factor
this trinomial, we have to find two numbers whose sum is 6,
and whose product is 8.
Of course, we know those two numbers are 2, & 4: (x + 2)(x + 4)

5. Factoring Trinomials ( x2 + bx + c)
Example 1: x2 + 7x + 12
It is helpful to set up a table as shown below:
Product Sum
We can see that the only two
numbers whose sum is 7 and 1(12) 1 + 12
whose product is 12, are 3 and 4
2(6) 2+6
(x + 3)(x + 4); FOIL to check
3(4) 3+4
**Example 2: x2 - 2x - 8
** Products must include negative factors as well.
Summary of Signs:
( + )( + ) = Both numbers are positive
( + )( - )= The larger of the 2 numbers is +, the smaller is negative
( - )( + ) = The larger number is negative, the smaller is negative
( - )( - ) = The larger number is negative, the smaller is positive

6. Example 3: x2 - 5x + 6
Example 4: x2 + 10x - 24
Finally:
These problems should never be incorrect. All you
have to do is FOIL your answer to see if you get the
original trinomial. It is easy to check for correctness.

7. Class Work:
Page 20; 2-21 All
Must Include Scratch Paper