Graphing a fourth degree polynomial

The video tutorial covers graphing polynomial functions without a calculator. It begins with an introduction to the leading coefficient test, explaining how to determine the leading coefficient and its impact on the end behavior of the graph. The tutorial then moves on to finding the zeros of the polynomial by factoring and understanding multiplicity. Finally, it demonstrates how to graph the polynomial using the identified zeros, multiplicity, and end behavior, ensuring a comprehensive understanding of the graphing process.

How do the points (0, 0), (-2, 0), and (2, 0) relate to the graph of the polynomial?

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What is the intermediate value theorem and how is it applied in this context?

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Describe the process of graphing the polynomial function based on the leading coefficient test.

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