How to use the remainder theorem for polynomials

How to use the remainder theorem for polynomials

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if a given expression is a factor of a polynomial using the remainder theorem. It discusses the relationship between zeros and factors, and demonstrates how to apply the theorem by testing if x-1 is a factor of a polynomial. The process involves evaluating the polynomial at a specific value and checking if the result is zero, confirming the factor status.

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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 a function when a number is plugged in?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How are zeros and factors related according to the text?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

If x minus 1 is a factor, what is the corresponding zero?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of f of 1 when evaluated as described in the text?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn about x minus 1 based on the evaluation of f of 1?

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