2. Warm Up Foil (3x+7)(x-1)

3. Factors, Roots and Zeros

4. Definition: Factoring Terms are Factors if, when they are multiplied, they equal that poly

5. Example (x - 3) and (x + 5) are Factors of the polynomial Answer: (x-3)(x+5)

6. Definition: Solutions or Roots The solutions to a poly are the points where the graph crosses the x-axis. Also called Roots or x-intercepts. All the same thing! Solutions = Roots = x-intercepts Picture…

7. Graph of a Polynomial Function Here is the graph of our polynomial function: The Zeros of the Polynomial are the values of x when the polynomial equals zero. In other words, the Zeros are the x-values where y equals zero.

8. Example f(x) = x 2 - 4 Identifying Solutions Solutions are -2 and 2.

9. Now you try this problem. f(x) = 2x - x 2 Solutions are 0 and 2. Identifying Solutions

10. Try this problem y = x 2 - 2x - 8. Roots? Zeros? Graphing Quadratic Equations xy -2 1 3 4