Consider a polynomial with the following properties. The end behavior is . The function has the following roots: x=-4 with multiplicity 2 x=4 with multiplicity 2 x=-3 with multiplicity 1 x=3 with multiplicity 1 x=0 with mulitplicity 1 Use you knowledge of polynomials to answer the following questions. 1. Try to sketch this polynomial. Is it possible? If not, explain why, if it is possible sketch the graph (Note, the shape, zeroes, behavior at the zeroes and end behavior are what matters for a sketch.) 2. If you said that it was not possible to sketch the graph, change 1 thing (you may not change the zeroes, but you could change the multiplicity of a zero or end behavior) to make it possible to graph this polynomial. Then graph the polynomial with the change you made

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.