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

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

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

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

  2. A Polynomial Equation from Coordinates General Rule of Thumb: An nth 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) 3 -24 Use the zeros to make factors Find the stretch factor Substitute a non-root coordinate

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

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