How to write the equation of a polynomial given irrational zeros

The video tutorial covers the concept of conjugates in algebra, emphasizing the importance of recognizing both positive and negative square roots. It demonstrates solving equations using conjugates and introduces the box method for multiplying trinomials. The tutorial also explains the difference of two squares technique, providing a shortcut for simplifying complex expressions. The lesson concludes with a final solution, preparing students for similar problems on a quiz.

What is the significance of the conjugate in the context of the given text?

Explain the process of solving the equation X - 3 * (X - 1 + sqrt 2) * (X - 1 - sqrt 2) = 0.

Describe the box method mentioned in the text for multiplying polynomials.

What is the difference of two squares, and how is it applied in the problem discussed?

What is the final answer for the polynomial equation derived in the text?