Graph the polynomial given polynomial and using multiplicity and end behavior

The video tutorial covers solving polynomial equations by determining the degree, finding zeros, and understanding multiplicity. It explains how to calculate the degree by expanding terms and using the leading coefficient. The tutorial demonstrates finding zeros using the zero product property and discusses how multiplicity affects graph behavior, such as crossing or bouncing at intercepts. Finally, it guides on sketching the polynomial graph by hand, considering end behavior and x-intercepts.

What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?

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Describe how to sketch the graph of a polynomial function based on its zeros and multiplicities.

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What is the relationship between zeros and x-intercepts in polynomial functions?

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