Determining the equation of a polynomial function

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Intros
Lessons
  1. Steps to Finding the Equation of a Polynomial Function
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Examples
Lessons
  1. Determining the Equation of a Polynomial Function With Multiplicities Equal to 1
    Determine the equation of the polynomial function of lowest possible degree in factored form.
    1. Determining the equation of a polynomial function from the graph
    2. Determining the equation of a polynomial function of the lowest degree
  2. Determining the Equation of a Polynomial Function With Higher Multiplicities
    Determine the equation of the polynomial function of lowest possible degree in factored form.
    Determining the equation of a polynomial function
    Topic Notes
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    We can easily find the equation of a polynomial from its graph by identifying x-intercept and the sign of the leading coefficient. That way, we can determine the factors of the polynomial and the end behavior of the function.
    Steps to determining the equation of a polynomial function
    1. Find the zeros, write them out in factored form.
    2. Determine the multiplicity each zero by observing the behavior of the graph near the zero.
    3. Determine the leading coefficient C by plugging in the coordinates of a point (other than the x-intercepts) on the graph.