Write a polynomial function P(x) that has the following properties: (a) the graph of P(x) crosses the x-axis at 1 and 5 (nowhere else). (b) the graph of P(x) touches (but does not cross) the x-axis at -4 and 3 (nowhere else). (c) P(x) has degree 6 (d) P(1)=12 (Type ONLY your final answer. Do not expand the polynomial.)

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