SP #2: Unit E Concept 7; Graphing polynomial, including: x-intercept, y-intercept, zeros, end behanior. All polynomials will be factorable

In these problems we are to graph polynomials, including x-intercepts, y-intercepts, zeros (with multiples), and end behaviors. First, you must try to factor out the GCF of the equation, if not you continue solving and find your end behaviors. Knowing your end behaviors you now know how your graph will look and where the end points will point to. Next, you solve to find your x-intercepts and their multiples. Then you plug in a zero into the original equation to find your y-intercept. At this point, we need to find our extrema's: max, and min. An their intervals of increase and decrease. Finally, you plug in your x-intercepts into the graph and use the rules of multiplicities to draw the directions of the graph.  

In these problems you have to keep in mind the rules of end equations as well as the x-intercepts and their multiplicities. Also a very important thing to keep in mind is the rule if multiplicities. Those rules determine whether you go through the x point, bounce from it, or curve as you go through it.