1. Objective - To factor trinomials in the form .
Factoring when c is positive.
Multiply.
Last
Terms
Sum of
Last
Terms
Product
of Last
Terms
Factor.
( )( ) x + 2 x + 5
sum
product

2. Factor.
( )( ) 1) x + 4 x + 5 2)
( )( ) y 2 y 6
( )( ) 3) m 3 m 4

3. ( )( ) x + 6 + 7 ( )( ) m 3 7 ( )( ) y 3 12 ( )( ) k + + ( )( ) x 3 8
Factor. Show factor pairs of the constant term.
( )( ) x 1) + 6 + 7
( )( ) m 2) 3 7 3)
( )( ) y 3 12
( )( ) k 4) + +
Not Factorable 5)
( )( ) x 3 8

4. Factoring when c is negative.
Multiply.
Last
Terms
Difference
of Last
Terms
Product
of Last
Terms
Factor.
( )( ) x + 6 x 2
difference
product

5. Factor.
( )( ) 1) x + 4 x 3 2)
( )( ) y + 5 y 8
( )( ) 3) t + 2 t 9

6. ( )( ) m + 7 4 ( )( ) x + 5 6 ( )( ) k + 4 6 ( )( ) t + ( )( ) + 5 7
Factor. Show factor pairs of the constant term.
( )( ) m 1) + 7 4
( )( ) x 2) + 5 6 3)
( )( ) k + 4 6
( )( ) t 4) +
Not Factorable
( )( ) 5) + 5 7

7. Factor. 1) 5) 1 7 1 5 2) 6) 2 12 5 9 3) 7) 2 7 2b
12b 4) 8) 5 2 1y
12y

8. 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 :
4) Trinomial Factoring :
5) Trinomial Factoring :

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

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