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Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros

Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to graph higher degree polynomials by understanding their end behavior and finding their zeros. It introduces the leading coefficient test to determine end behavior and discusses methods like factoring and synthetic division to find zeros. The tutorial also covers the concept of multiplicity and its impact on graph behavior, providing a strategy for sketching polynomial graphs.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the characteristics of polynomial functions with a degree of two or higher?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the leading coefficient test and its significance in determining the end behavior of polynomial functions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the exponent of a polynomial's leading term affect its end behavior?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process for finding the zeros of a polynomial function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the multiplicity of a zero and the behavior of the graph at that zero.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps should be taken to sketch the graph of a higher degree polynomial?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine the y-intercept of a polynomial function?

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