1. Objective - To factor trinomials in the form,
, where a is an integer > 1.
Multiply.
Factor.
( )( ) 1 x + 2 3 x + 2
sum

2. Factor. 1) ( )( ) 3 x + 1 1 x 4 2) ( )( ) 1 x 2 2 x 5 difference sum
( )( ) 3 x + 1 1 x 4
difference
Negative 2)
( )( ) 1 x 2 2 x 5
sum

3. Factor. 3) ( )( ) 2 x + 5 1 x 6 4) ( )( ) 2 x 3 3 x 4 difference sum
( )( ) 2 x + 5 1 x 6
difference
Negative 4)
( )( ) 2 x 3 3 x 4
sum

4. Factor. 5) ( )( ) 2 x + 1 3 x + 4 6) ( )( ) 2 x + 3 5 x 1 sum
( )( ) 2 x + 1 3 x + 4
sum 6)
( )( ) 2 x + 3 5 x 1
difference
Negative

5. Factor. 7) ( )( ) 1 x + 5 4 x 3 8) ( )( ) 1 x 6 5 x 1 difference sum
( )( ) 1 x + 5 4 x 3
difference
Negative 8)
( )( ) 1 x 6 5 x 1
sum

6. Factor. ( )( ) 2 x + 3 3 x + 1 Which of the following is a factor of ?b) d)
Factor.
( )( ) 2 x + 3 3 x + 1
sum

7. Factoring Polynomials
Five Types of Factoring
1) Greatest Monomial Factor
1) Greatest Monomial Factor
2) Difference of Squares
3) Perfect Square Trinomial
3) Perfect Square Trinomial
4) Trinomial Factoring :
5) Trinomial Factoring :
5) Trinomial Factoring :

8. Factor completely. 1) 2) Greatest Monomial Factor Factoring Factoring
Difference of Squares