Sketching a Polynomial Graph

To some people, sketching linear or quadratic equations appear to be a piece of cake, but when it comes to sketching polynomial graphs, we’re talking about “a whole nother” level. 

Today, we’ll be running through the process of sketching a polynomial division graph.

First, go ahead and familiarize yourself with the word “polynomial”. As a mathematical term, polynomial refers to an expression of more than two algebraic terms. 

Here comes the sketching procedure:

  1. Factor the polynomials
  2. Find Vertical Asymptotes
  3. Find Horizontal Asymptotes
  4. Solve for Y-intercept
  5. Solve for zeros

We will use the expression below as an exemplar.