How to find the end behavior of a polynomial in factored form

How to find the end behavior of a polynomial in factored form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers polynomial expansion and simplification, focusing on multiplying polynomials and determining end behavior. The teacher explains the process of expanding terms and emphasizes the importance of the leading term in understanding polynomial behavior. The class concludes with homework instructions, focusing on understanding polynomial behavior rather than extrema.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first term in the polynomial expansion discussed in the video?

-2X^4

2X^4

-X^3

X^3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the expanded terms?

-16X^7

16X^8

16X^7

-16X^8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of the polynomial after multiplication?

3

8

4

7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph behave as X approaches negative infinity?

Oscillates

Remains constant

Falls to negative infinity

Rises to positive infinity

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should students focus on for the next class according to the video?

Memorizing formulas

Understanding extrema

Graph behavior

Completing the expansion