1. Warm-up: Factor Completely
5x2 + 5x – 30
6x2 – 12x – 378
2x2 – 12x
3x2 – 21x + 30

2. Factoring Trinomials when a is not equal to 1

3. How to Factor a Trinomial
Check for GCF 1st. Divide out the GCF of each term if one exists.
When factoring ax2 + bx + c, first find factors of a and c.
Check the products of the inner and outer terms to see if the sum is b.
When c is POSITIVE, both signs inside the parentheses will be the same as the middle term.

4. 1. x2 + 9x + 14 +1 +2
+14 +7 1x
( )( )
x x

5. 2. 2x2 – 5x + 3 1x 2x -1 -3
( – )( – )
x x

6. 3. 5x2 + 11x + 2 1x 5x +1 +2
( )( )
x x

7. 4. 3x2 – 10x + 3 1x 3x -1 -3
( – )( – )
x x

8. 5. 2x2 – 7x + 5 1x 2x -1 -5
( – )( – )
x x

9. 6. 6x2 – 11x + 3 1x 2x 6x 3x -1 -3
( – )( – )
2x x

10. 7. 4x2 + 16x + 15 +1
+15 +3 +5 1x 2x 4x
( )( )
2x x

11. 8. 3x2 – 20x – 7 1x 3x 1 7
( )( )
x x –

12. 9. 2x2 + 3x – 5 1x 2x 1 5
( )( )
x x –

13. 10. 5m2 + 14m – 3 1m 5m 1 3
( )( )
m m –

14. 11. 2x2 – 11x – 21 1x 2x 1 3 7 21
( )( )
x x –

15. Sometimes you can factor out a GCF 1st!

16. 12. 14x2 – 32x + 18 2(7x2 – 16x + 9) 2( – )( – ) x 7x 1 9 1x 7x -1 -9-3
2( – )( – )
x x

17. Class Work
Factoring WS