Applying descartes rule of signs to determine the number or real positive & negative zeros

Applying descartes rule of signs to determine the number or real positive & negative zeros

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains Descartes' Rule of Signs, which helps determine the number of positive, negative, and imaginary zeros in a polynomial equation. The instructor demonstrates how to evaluate the function for negative X and identify sign changes to find real zeros. The tutorial concludes with a summary of possible solutions based on the degree of the polynomial.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the rule of signs help us determine about the real number system?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the number of positive real zeros in a polynomial.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens when you raise a negative variable to an odd power?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of determining the number of sign changes in a polynomial.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you interpret the results of sign changes in relation to real zeros?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusions can be drawn if a polynomial has two positive real zeros and one negative real zero?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

If a polynomial has zero positive real zeros and one negative real zero, what can be inferred about the remaining zeros?

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