1. Factoring Review
Greatest Common Factor, Difference of Squares, Box Method, Quadratic Formula

2. Method 1: Greatest Common Factor
Abbreviated GCF
When to use it: When each term in the equation share a common factor (may be a number, or a variable)
May also be a combo of the two

3. Steps in GCF Find the common factor(s) in the equation
Divide the entire equation by the GCF
Pull it outside the equation by separating with parentheses
Set equal to zero
Locates the x intercepts (roots) of the equation

4. Y=-x2+6x

5. Y= 2x2+18x+28

6. Things to Watch out for with GCF
You may be able to use another method to finish factoring at times

7. Method 2: Difference of Squares
When to use it: Two term equation
If your terms are both perfect squares
Separated by a – sign in the equation

8. Steps in Solving Using Difference of Squares
Check that each term is a perfect square
Check that they are separated by a minus sign
Take the square root of each equation
Place each root in a set of parentheses, with a subtraction sign in one set, and an addition sign in the other
Set each parentheses=0 and solve for x

9. Find the roots of Y=4x2-81

10. Find the x intercepts of y=x2-25

11. Solve for x: y=9x2+36

12. Things to watch out for with Difference of Squares

13. Method 3: Box Method
When to use it: When you have three terms to factor

14. Steps in Box Method

15. Find the zeros of y=X2+2x-3

16. Find the roots of y=x2-8x+12

17. Find the roots of y= 8x2-40x+50

18. Find the x intercepts of y= 2x2-5x+2

19. Find the roots of y=-16t2+63t+4

20. Things to watch out for with box method
Need three terms
Make sure they are in quad form
Watch your negative signs
Make sure you are only factoring the leading coefficient and constant terms.

21. Quadratic Formula You can always use the quadratic formula
Sometimes there are just easier ways to solve

22. The Quadratic Formula

23. What do the variables mean?
They represent the coefficients from the quadratic expression
Ax2+Bx+C=0
Keep in mind you only write out the coefficients, not the x2 or x

24. Example
Use the quadratic formula to find the roots of x2 + 5x-14=0

25. Solve x2-7x+6=0

26. Solve 4x2=8-3x

27. Solve 2x2-6x=-3

28. Graphing Quadratics
Using the standard form Ax2+Bx+C=0 of a quadratic, you can create a graph by looking at several things
A tells you if the parabola opens up or down
A>1, opens up, A<1, opens down
C is the y intercept
Factor and solve to find the x intercepts, graph!

29. Factor, Solve and Graph X2+6x=0 X2-3x-1=0 X2-5x-6=0 4X2=-8x-3