Write the equation of a polynomial given irrational zeros

The video tutorial covers the concept of conjugates in square roots, explaining that for any square root, its conjugate must also exist. It demonstrates solving equations using square roots and highlights the importance of the difference of two squares, showing how middle terms cancel out. The tutorial concludes with a practical application using the FOIL method.

What is the result when you set X - sqrt(2) = 0?

Describe the process of multiplying the first two terms in a difference of squares.