A demo of this topic where I stack the l ike terms in columns as a perform the distributions connecting each term of the first polynomial to each term in the other.
This shows how to factor the numerator and denominator of a fraction in algebra so that we can reduce the same factors ono the top and the bottom because they divide to one.
This demonstrates why symthetic division works when dividing by a simple binomial as in x + a or x - a. Then it shows how to fill in the answers for this type of question.