1. Do Now: Factor x2 – 196 4x2 + 38x + 34 16x2 – 36 (x + 14)(x – 14)

2. Solve Quadratic Equations by Factoring

3. If ab = 0, what must be true about the values of a and/or b?
Think, pair, share
If ab = 0, what must be true about the values of a and/or b?

4. For any real numbers a and b, if ab=0, then either a=0, b=0, or both.
Zero Product Property
For any real numbers a and b, if ab=0, then either a=0, b=0, or both.

5. Example 1 (x+3)(2x-1) = 0 x + 3 = 0 OR 2x – 1 = 0 x = -3 OR x = ½
Equation in factored form and equals zero
Use Zero Product Property to solve, simply set the individual factors equal to zero.

6. You try it …
1) (x – 2)(x + 3) = 0
2) (x + 5)2 = 0

7. What if you have a standard form equation?
18x2 – 3x – 1 = 0 (6x + 1)(3x – 1) = 0 6x+1=0 OR 3x-1=0 x= -1/6 or x = 1/3
Check that equation equals zero, if not rewrite
Factor
Solve using Zero Product Property
Check your work

8. What if the equation does not equal zero?
x2 – 27 = 6x x2 – 6x – 27 = 0 (x-9)(x+3) = 0 x – 9 = 0 OR x + 3 = 0 x = 9 OR x = -3
Check that equation equals zero, if not rewrite
Factor
Solve using Zero Product Property
Check your work

9. practice
x2 – 4x = 5
3x2 + 7x – 6 = 0
9x2 – 24x + 16 = 0
x2 – 63 = 2x

10. How do you solve a quadratic equation by factoring?
Sum it up ….
How do you solve a quadratic equation by factoring?