The problem above shows the work I did to find points making it possible for me to graph the polynomial. You have to graph your equation completely. Once you have factored it out, you find the zeroes of the polynomial and that will give you the x-intercepts. To solve for the y-intercept, you plug 0 into the original equation.
The problem is about finding an equation that will allow you to graph the polynomial. We use the equation factored out to find the zeroes of the polynomial. The problem also includes finding the end behavior of the graph by looking at the leading coefficient and the exponent on the first term. That will determine what direction the ends of the graph will be.
The viewer needs to pay attention to their accuracy of the graph by plotting the y-intercept and the x-intercepts. They also need to make sure that they do the graph correctly using the multiplicity of the zeroes to determine how the graph will act around the x-axis. It will either be T-through for multiplicity of 1, B-bounce for multiplicity of 2, or C-curve for multiplicity of 3.
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