Question

In: Advanced Math

The following cubic polynomial has three real roots p(x) = 32x3 − 110x2 + 123x −...

The following cubic polynomial has three real roots p(x) = 32x³ − 110x² + 123x − 45

(a) Plot p(x) for .9 ≤ x ≤ 1.6 and indicate the locations of the three roots. What are the exact roots of p(x)?

(b) Write a MATLAB code to run Newton’s method with x₀ = 1.2 and discuss the convergence.

(c) Write a MATLAB code to run the secant method starting with x₀ = 1.31 and x₁ = 1.2 and discuss the convergence.

(d) Write a MATLAB code to run the bisection method with the initial bracket [.9, 1.6] and discuss the convergence.

Expert Solution

Matlab Code for part a

output of part a

Matlbab Code for part b

output of part b

Matlab code of part c

output of part c

Matlab code for part d

Output of part d

Colby Messinger answered 7 months ago

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