What is important to know about polynomials?

The video tutorial introduces polynomials, discussing their characteristics, continuity, and real-life applications. It covers polynomial definitions, properties like degree and leading term, and explains intercepts and zeros. The concept of multiplicity of zeros is also explored, providing a comprehensive understanding of polynomial functions.

Discuss the importance of the mean value theorem in relation to polynomial functions.

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Explain the concept of continuity in relation to polynomial functions.

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What are the key characteristics of polynomial functions?

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What are the implications of a polynomial function being continuous?

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How do you determine the degree of a polynomial?

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What is the significance of the leading coefficient in a polynomial?

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What is meant by the term 'extrema' in the context of polynomial functions?

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Describe the relationship between the degree of a polynomial and the number of zeros it can have.

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How do you find the X and Y intercepts of a polynomial function?

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What is the multiplicity of a zero, and how does it affect the graph of a polynomial?

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