Write the equation of the polynomial given the zeros

Write the equation of the polynomial given the zeros

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of writing a polynomial given its zeros, including imaginary numbers. It emphasizes the importance of including both positive and negative values when dealing with square roots and complex numbers. The tutorial demonstrates setting zeros as factors, using the zero product property, and multiplying linear factors to form a polynomial. It concludes with writing the polynomial in its function form.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the middle terms when multiplying a complex number by its conjugate?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the final form of the polynomial after multiplying out the factors derived from the zeros.

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