Write polynomial equation from linear factorization

The video tutorial explains how to write polynomial equations by multiplying factors to convert them into standard form. It covers the process of factoring, using the distributive property, and recognizing patterns in binomial squares and perfect square trinomials. The tutorial also introduces the box method for organizing terms and highlights the concept of conjugate pairs in polynomial multiplication.

How can you identify a perfect square trinomial from a binomial squared?

Explain the box method for multiplying polynomials and its advantages.

What are conjugate pairs in polynomial equations, and how do they relate to the difference of squares?

What steps would you take to write a polynomial in standard form from its linear factors?