How do we find multiplicity and use it to graph a polynomial

Summary

This video explains how to find the zeros of a polynomial function and determine their multiplicities, crucial concepts in algebra and graphing. It covers how to set a function equal to zero, solve for the roots, and understand their behavior on a graph. Zeros with odd multiplicities cause the graph to cross the x-axis, while even multiplicities result in the graph merely touching the x-axis. The explanation includes factoring techniques, solving quadratic and higher-degree equations, and using the zero-product property. A common mistake to avoid is neglecting the positive and negative roots in solutions. The video also provides examples of how to graph functions based on these principles.

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