Lesson 33 Long Division to Find Roots

Summary

In this video, the process of finding the roots of a fourth-degree polynomial is explored using long division and synthetic division. The given polynomial has known complex roots, and the video demonstrates how to convert these roots into a quadratic factor. By dividing the polynomial by this quadratic factor using long division, the remaining quadratic is simplified. The roots of the resulting quadratic are found using the quadratic formula. This method avoids the complexity of synthetic division with imaginary numbers, making the process more manageable and efficient for solving polynomial equations.

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