This problem is about graphing a polynomial with a degree of 4 and a positive leading coefficient. In order to do so, the polynomial must first be factored and the end behavior must be determined. From the factored equation, one must solve for x (by equaling the factored portion to 0 and solving) which will be the x-intercepts/zeroes with multiplicities for the graph. To solve for the y intercept, solve f(0) in the original equation. Have the points plot on the graph and sketch.
Remember that the even/odd of a degree and the positive/negative of the leading coefficient will determine the end behavior of a graph (of a polynomial) Also note that the multiplicity of a number directs how the graph will "react" with the x intercepts/zeroes. An x value with the multiplicity of 1 will have the graph go THROUGH the x intercept; an x value with the multiplicity of 2 will BOUNCE off the x intercept; and finally, a multiplicity of 3 will CURVE through the x intercept. Remember that the graph must lead toward the end behavior, meaning don't make extra or minimize moves to reach the end behavior.
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