Problem 2: Compare performance of Newton's method and Muller's method on the problem of finding roots of a polynomial with real co- efficients by the method of deflation Write a code implementing deflation method for finding all roots of a polynomial using (a) Newton's method, (b) Muller's method . On the example of P(x)+2+4r+3, show that Newton's method can not produce complex roots when starts from real On the example of P(x) = x3+4x2 +4x+3, show that Muller's Show that Newton's method gives correct roots of P(x) = 2.3 + initial approximation. method is not sensitive to a real initial approximation. 4r2+4x +3, if the initial approximation has a nonzero complex component. . Write a report. Include results of the calculations done in previ- ous items, add minor comments explaining the results. Attach