1. 6.8 Solving Equations by Factoring

2. Zero Product Property Rule  if (a)(b) = 0, then a = 0 or b = 0
Zero Product Property Rule  if (a)(b) = 0, then a = 0 or b = 0.  if a = 0 or b = 0, then (a)(b) = 0.

3. the quest for “X” X

4. Solving for X
If the equation is already factored and set equal to 0 then:
set each factor equal to 0
solve

5. What values of “x” make this equation true? (x + 1)(x – 7) = 0

6. What values of “x” make this equation true? x(2x – 9) = 0

7. What values of “x” make this equation true? (x + 3)(x – 4) = 0

8. What values of “x” make this equation true? (x - 7)(x – 3) = 0

9. What values of “y” make this equation true? y(3y – 17) = 0

10. If the equation is not already factored then you need to:
Solving for X
If the equation is not already factored then you need to:
set it =0
factor it
set each of its factors =0,
solve for x

11. Solve for “y”: y2 + 5y = -6 Add 6 to get “0” on one side Factor
Let each factor = zero

12. Solve for “y”: y2 – 8y = -16
Add 16 to get “0” on one side
Factor

13. x2 – x – 6 = 0
x = 3 or (-2)

14. m2 – m = 56
m = 8 or (-7)

15. k2 – 3k = 28
m = 7 or (-4)

16. “root” For a polynomial containing a variable, any value of the variable that makes the value of the polynomial = zero is called a “root” of the polynomial.
Find the roots of x2 – 5x
= 0

17. Find the roots of 25x2 – 16

18. Assignment Page 289 (2-68) even