1. Finding the equation of a Polynomial from the roots and a Graph

2. A Polynomial Equation from Coordinates General Rule of Thumb: An n th degree polynomial needs n + 1 points in order to find an accurate equation. Example: Find the equation of a polynomial that contains the points (-3,0), (1,0), (2,0), (4,0), and (3,-24) Use the zeros to make factors Find the stretch factor Substitute a non-root coordinate 3 -24

3. Graph to Equation Possibly a Double Root Minimum Degree: x-intercepts: Orientation: 3 -2 and 3 Positive Double Root What About: Wrong y-intercept Find the equation of the graph Keep these in mind Use the zeros to make factors Solve for a with another point (1,4)