1. Factoring Trinomials of the form:
x2 + bx + c
Factoring Trinomials of the form:

2. Remember FOIL?
Now we are going to go backwards!
x2+bx+c = (x )(x )

3. “M” and “A” Method Factoring x2+bx+c
This method only works when there is a leading coefficient of “1”. Meaning there is no number before the x2.
Examples:
x2 + 6x + 9
x2 – 8x + 15

4. “M” and “A” Method x2 + bx + c
“M” multiplies to
“A” adds to
Check for GCF
Look for two numbers that:
Multiply together to get the “c” value.
Add together to get the “b” value
Place in (x )(x )

5. You can always check your answer by using F.O.I.L.

6. 1) Factor:
2) Factor: M: A: M: A:
Check:
Check:

7. 4) Factor:
3) Factor: M: A: M: A:
Check:
Check:

8. M: A: M: A: 6) Factor: 5) Factor: *Challenge Problem!
Check:
Check:

9. *Challenge Problem!
7) Factor:
8) Factor: M: A: M: A:
Check:
Check:

10. 10) Factor:
9) Factor: M: A: M: A:
Check:
Check:

11. 12) Factor:
11) Factor: M: A: M: A:
Check:
Check:

12. 14) Factor:
13) Factor: M: A: M: A:
Check:
Check:

16. Factoring trinomials of the form: ax2+bx+c

17. Factoring ax2+bx+c
When we’re factoring trinomials with a leading coefficient other than “1” things get more complicated.

18. Factoring ax2+bx+c STEPS: Multiply the “a” and “c” values
Look for two numbers that:
Add to get your “b” values
Multiply to get your new value (found in step 1)
Place these numbers in (x )(x )
Divide the last number in parenthesis by your leading coefficient. If the fraction reduces…. Leave it. If it doesn’t put it in front of the x.

19. You can always check your answer by using F.O.I.L.

20. 2) Factor:
1) Factor: M: A: M: A:
Check:
Check:

21. 4) Factor: 3) Factor: *Challenge Problem! *Challenge Problem! M: M: A:
Check:
Check:

22. 6) Factor:
5) Factor: M: A: M: A:
Check:
Check:

23. 8) Factor:
7) Factor: M: A: M: A:
Check:
Check:

24. 10) Factor:
9) Factor: M: A: M: A:
Check:
Check:

25. 11) Factor: 12) Factor: *Challenge Problem! *Challenge Problem! M: A:
12) Factor: M: A: M: A: