How to Find the Multiplicity from a Set of Polynomial Factors

How to Find the Multiplicity from a Set of Polynomial Factors

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find zeros of a polynomial and determine their multiplicity. It begins with an introduction to zeros and the zero product property, followed by solving polynomial equations using inverse operations. The concept of multiplicity is introduced, explaining how it affects the graph of a polynomial. The tutorial concludes with a discussion on the significance of even and odd multiplicities in graph behavior.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to find the zeros of a polynomial function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the Zero Product Property and how it is applied in finding zeros.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of solving for zeros when given a polynomial in factored form.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a polynomial has a zero at X = -1?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the zeros of the polynomial X^3 + 1 = 0?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the multiplicity of a zero?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of even and odd multiplicities in the graph of a polynomial?

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