1. WELCOME BACK WARM UP!
Find The roots of the given quadratic: x2+7x+6=0 A.) {0,6} B.) {-6,0} C.) {-6,-1} D.) {1,6}

2. X-intercepts, Zeros, Roots, Solutions (No calculator)

3. What are X-intercepts, Zeros, Roots, Solutions?
Where the graph (function) crosses the x-axis!

4. Solving for roots with a calculator
Go to y=
Type the equation into y1
Graph it
2nd, Trace
Zero
Left, Right, Guess

5. Solving for roots without a calculator
Step 1: Set equation equal to zero
Step 2: Factor equation
Remember the diamond game, mustang method, special cases, and GCFs!
Step 3: Set each factor equal to zero
This gives you two separate equations
Step 4: Solve each new equation

6. Warning
I am going to move fast through this because you should know how to factor and solve equations at this point!!!
If you don’t, you need to come to tutorials for help on those and use your calculator to solve for the solutions until then!

7. Example a2+7a+10 Set equation equal to zero Factor
Set each factor equal to zero
a+2= a+5=0
Solve each equation
a= a= -5

8. Example 2w2+5w-3 2w2+5w-3=0 w2+5w-6=0 (w+6)(w-1)=0

9. Special Note
The only way anything can be multiplied and give us zero is if one of those things is zero. So that is why we set each factor equal to zero.