Subject: Matlab: Newton's Method

The polynomial p(z) = z4 + 52,3-92,2-852-136 has two real roots and two complex roots Find the two real roots using Newton's method (use your code, and make initial guesses until you have both real roots). Factor out the quadratic term 2 2containing those two roots (yes, this involves division of polynomials) Then use the quadratic equation on the remainder to find the complex roots. What f we just entered a complex number as our initial guess in New- ton's method? Would that work? Try Po- 1 +z as an initial guess. What do you get? (Make sure your code doesn't se i as an integer elsewhere.) Record the root and the number of iterations Use MATLAB's built in roots command to find the roots