1. Basic Trinomials (All Positives)
7.5 Factoring
Basic Trinomials
(All Positives)

2. Identification Trinomial x2 + bx + c Trinomial x2 + c a2 + 8a + 15 a2
Three terms
Square on one end
Plus a number on the other end

3. Factor. a2 + 8a + 15 8 15 1 ( )( ) a a + 3 + 5 1  15 = 15 product Sum16 3 5
3  5 8
( )( )
a a
+ 3
+ 5 8
sum
Find the product and sum.
List all pairs of factors of the product.
Add each pair of factors.

4. Factor. 1 c2 + 9c + 20 9 20 ( )( ) c c + 4 + 5 1  20 = 20 Sum 2021 4 5
2  10 12 9
4  5 9
( )( )
c c
+ 4
+ 5

5. Factor. 1 d2 + 16d + 28 16 28 ( )( ) d d + 2 + 14 1  28 = 28 Sum 2829 2 14
2  14 16 16
4  7 11
( )( )
d d
+ 2
+ 14

6. Factor. 1 m2 + 13m + 36 13 36 ( )( ) m m + 4 + 9 Sum 1  36 = 3637
2  18 20 36
3  12 15 4 9
4  9 13 13
6  6 12
( )( )
m m
+ 4
+ 9

7. Assignment
12 Mastery Problems
(MC #)