SP #2 Unit E Concept 7: Graphing Polynomials

SP

      What is this problem about?                                                                                                                                

             This problem is basically about graphing a polynomial and being able to find several factors to it. For example,  from the equation we have to factor it out and then find the zeros, or x-intercepts. Some times you can start off backwards, like in this case, by coming up with the zeros first and then the factored equation to finally foil. Finding the y-intercepts as well would a task and then the extrema with the intervals of increase and decrease. To be able and graph it, you look at the zeros and decide whether the graph will go through the point, bounce, or curve. The way you decide is by knowing what the multiplicities are. 

What does the viewer need to pay special attention to in order to understand? 
            The viewer needs to pay special attention to the x-intercepts and know what the multiplicities exactly due to the fact that the graph will come out incorrect if the multiplicities are wrong. Also, another thing is that knowing the end behavior is important since it will give you a hint of how the graph will look like. Just overall be cautious because one simple mistake can ruin the whole problem.