Given One Zero or Factor Find the Remaining Zeros

The video tutorial explains how to find the remaining zeros of a polynomial when given a complex zero. It covers two methods: using the complex conjugate and long division. The instructor provides a step-by-step example, demonstrating the importance of considering both positive and negative roots when dealing with complex numbers. The tutorial emphasizes the use of long division over synthetic division for polynomials of higher degrees and concludes with a summary of the process.

What is the first method mentioned for finding the remaining zeros when given a complex zero?

Explain the significance of including both positive and negative values when dealing with complex zeros.

Describe the process of using long division to find the remaining zeros of a polynomial.

Why can't synthetic division be used when dealing with a quadratic type binomial?

What are the zeros of the polynomial if one of the zeros is given as 3i?