Given a Irrational Factor, Find All the Zeros

The video tutorial covers synthetic division, operations with radicals, and the concept of conjugates in polynomial factors. It explains how to multiply factors using the difference of squares and demonstrates long division of polynomials. The instructor also addresses and corrects mistakes made during the division process.

Describe the relationship between the factors and the polynomial as explained in the text.

What mistake did the teacher make during the long division process?

What steps should be taken if a student has trouble with long division as mentioned in the text?