Applying the remainder theorem to identify the remainder of a polynomial divided

Applying the remainder theorem to identify the remainder of a polynomial divided

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the remainder theorem and its application in finding the remainder of a polynomial division. It highlights the equivalence of the remainder obtained through synthetic division and evaluating the polynomial at its zero. The tutorial provides a step-by-step example of using the remainder theorem and verifies the result using synthetic division. Additionally, it discusses the relationship between factors and zeros, emphasizing how to determine zeros from factors.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the remainder theorem state about the remainder from synthetic division?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate a function to find the remainder using the remainder theorem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to a negative number raised to an odd power compared to an even power?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to check the answer obtained from the remainder theorem using synthetic division.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the zero in relation to the factor in the context of the remainder theorem?

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