Determine end behavior of a polynomial

The video tutorial explains how to write a polynomial in standard form by arranging terms in descending order of exponents. It identifies the degree and leading coefficient of the polynomial, emphasizing their importance in determining the polynomial's end behavior. The tutorial uses the leading coefficient test to predict whether the polynomial's graph will rise or fall at the ends, focusing on even degree polynomials with positive leading coefficients. The explanation is applicable to various polynomial degrees, ensuring a consistent understanding of end behavior.

What is the standard form of a polynomial, and why is it important to write it in this form?

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How do you determine the degree and leading coefficient of a polynomial?

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What does it mean if a polynomial has an even degree and a positive leading coefficient?

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Explain the end behavior of a polynomial function with an even degree and a positive leading coefficient.

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How does the end behavior of a polynomial function relate to its degree and leading coefficient?

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