Question 4 Consider the polynomial:f(x)0.0074x4- 0.284x3 +3.355x2 - 12.183x +5 f(x) has a real root between 15 and 20 (which you should verify by plotting the function). Using the Newton-Raphson method, find the root with an initial guess of xo 18. Use a stopping criterion of ,-196. Use the f zero, and roots functions in MATLAB to verify your answer. Calculate values to four decimal places. Perform three iterations manually and show your work. Summarize your iterations in a table and include a plot and screen captures of your MATLAB output. Tip: use the polyval function to calculate fx) and f'(x)