Learn how to write the end behavior from a polynomial in factored form

Learn how to write the end behavior from a polynomial in factored form

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains the difference between standard and factored forms of polynomials, emphasizing the importance of the distributive property in converting between these forms. It highlights the leading coefficient test, focusing on the highest power term to determine polynomial behavior. The tutorial also covers the multiplication of polynomials, the significance of polynomial degree, and how these factors influence the graph's end behavior. The video concludes with a discussion on graphical representation based on polynomial degree and leading coefficient.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the behavior of a polynomial function as x approaches negative and positive infinity.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the possible end behaviors of polynomial functions based on their degree and leading coefficient?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the degree of a polynomial affect its graph's end behavior?

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