1. Factoring Trinomials:
x2 + bx + c

2. Rules
1) x2 + bx + c = (x + m)(x + n)
when m + n = b and mn=c
Multiply the coefficient of the first term by the last term to find the number that will be factored.
_x2 + bx + c
Since there is no number in front of
the first term, it is understood to be 1.
Why is the coefficient understood to be 1?

3. Factor: x2 + 6x + 8
Factors Sum 1, 2, 2 4
(x + )(x + ) m n

4. Factor: x2 + 7x + 12
Factors Sum 1, 2, 3,
(x + 3)(x + 4)

5. Factor: x2 - 10x + 16
Factors Sum
(x - 2)(x - 8)

6. Factor: x2 - 12x + 27
Factors Sum
(x - 3)(x - 9)

7. Factor: x2 + 11x + 30
Factors Sum
(x + 5)(x + 6)

8. Factor: x2 - 9x + 18
Factors Sum
(x - 3)(x - 6)

9. Factor: x2 + x - 12
Factors Sum
(x + 4)(x - 3)

10. Factor: x2 + 3x - 18
Factors Sum
(x + 6)(x - 3)

11. Factor: x2 - x - 20
Factors Sum
(x + 4)(x - 5)

12. Factor: x2 - 8x + 15
Factors Sum
(x - 3)(x - 5)

13. Factor: x2 + 10x - 24
Factors Sum
(x + 12)(x - 2)

14. Factor: x2 + 12x + 36
Factors Sum
(x + 6)(x + 6)