Given an Complex Factor, Find the Remaining Zeros

Given an Complex Factor, Find the Remaining Zeros

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of conjugates in polynomials, explaining how they relate to factors. It demonstrates the difference of squares and applies long division to polynomials. The tutorial concludes with finding zeros using the quadratic formula, highlighting that all zeros in this example are imaginary.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the conjugate when dealing with complex numbers in polynomial factorization?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of using long division to divide polynomials as described in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the quadratic formula, and how is it applied when a polynomial is non-factorable?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the zeros of a polynomial, and what does it mean if all zeros are imaginary?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the implications of having a polynomial of the 4th power with no real zeros.

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