SP# 2: Unit E Concept 7: Graphing Polynomials Using Zeroes with Multiplicities, Y-intercept, and End Behavior

In this student problem you will learn how to graph a fourth degree polynomial in standard form. First you need to factor out the equation. Once you have the factors you must find the zeroes or the x-intercepts. If a zeroes has a multiplicity of two then it will bounce on the point, if it has a multiplicity of one, it will go through. The coefficient in this graph has a positive coefficient and an even exponent. So the need behaviors will both be +infinity.

You need to pay careful attention to the multiplicities to graph the equation correctly. If the multiplicity is one, then the graph goes through the x-axis. However if the multiplicity is two, then the graph bounces off the x-axis. Also you need to pay attention to the leading coefficient to find the end behavior.