1. Do Now
1) Factor. 3a2 – 26a + 35

2. Homework Solutions 12x(x – 3) (x + 4)(x + 2) (x – 10)(x + 9)
(3g + 10)(3g – 10)
(2m – 3y)(2m + 3y)
(x + 10)(x – 3)
3(h2 – 16) = 3(h – 4)(h + 4)
2(w2 – 5w – 36)= 2(w – 9)(w + 4)

3. Homework Solutions 9) 3m2 + 6m + 5m + 10 (3m2 + 6m) (+ 5m + 10)

4. Homework Solutions 10) 6x2 – 9x + 8x – 12 (6x2 – 9x) (+ 8x – 12)

5. Homework Solutions 11) 8y2 + 10y + 4y + 5 (8y2 + 10y) (+ 4y + 5)

6. Homework Solutions 12) 12p2 – 15p + 4p – 5 (12p2 – 15p) (+ 4p – 5)

7. Zero Product Property
If two numbers multiply to zero, then either one or both numbers have to equal zero.
If a • b = 0 then either
a=0,
b=0,
or both a and b equal 0.

8. 2. Solve (x + 3) (x – 5) = 0

9. 3. Solve (2a + 4) (a + 7) = 0

10. 4. Solve (3t + 5) (t – 3) = 0

11. Quadratic Equations
A quadratic equation is an equation that contains a variable squared in it, and no higher powers of the variable.
Ex: x2 + 3x – 10 = 0
y2 – 16 = 0
6a + a2 = 16

12. Solving Quadratic Equations
The zero product property can be used to solve quadratic equations.
Steps:
1) Set the equation equal to zero.
* You want the squared term to be positive
2) Factor.
3) T out.
4) Check with your calculator.

13. x2 + 4x + 3 = 0

14. x2 + 2x = 15

15. v2 = -6v + 27

16. 8. Solve a2 – 40 = 3a
{-8, 5}
{-5, 8}
{-8, -5}
{5, 8}

17. x2 – 9 = 0

18. x2 = 36

19. r2 = 16

20. Solving By Factoring HW #1
Homework
Solving By Factoring HW #1