Consider the function W) = x4 3x3 7x2 + 15x + 18. (a) Find the possible rational roots of ")0 = o. (b) Use synthetic division to divide f ( x) by x...

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1. Consider the function W) = x4 — 3x3 — 7x2 + 15x + 18.(a) Find the possible rational roots of “)0 = o. (b) Use synthetic division to divide f ( x) by x - 3. Show all your work. Use your answer to explainwhether or not x - 3 is a factor of fix]- (c) Factor f(x) completely. Show all your work. (d) Sketch the graph of f(x] by plotting the x—interoepts. finding and plotting additional points on thegraph. and using what you know about the graph's end behavior.Answer: