Given One Zero or Factor Find the Remaining Zeros

Given One Zero or Factor Find the Remaining Zeros

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Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to find the remaining zeros of a polynomial when one zero is a complex number, specifically 2i. The instructor demonstrates using synthetic division to handle complex zeros and shows that if 2i is a zero, then -2i must also be a zero. The process involves performing synthetic division twice, first with 2i and then with -2i, to simplify the polynomial and find the remaining zeros. The final zeros identified are 2i, -2i, 1, and -1/2. The tutorial emphasizes that synthetic division can be used effectively with complex numbers.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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