Newton's and Regula False Method on MATLAB

For the below problem, how can I find all real zeros of the functions (with Newton’s and Regula False) using the MATLAB function:

f(x)= x^3+3x^2-1

Answer 1

[Sripranav Mannepalli]

1) Newton's Method : 

The following MATLAB Answer post provides a code that implements the Newton Raphson method.

https://in.mathworks.com/matlabcentral/answers/107508-solving-a-nonlinear-equation-using-newton-raphson-method

Newton's method cannot be used to find multiple roots. For more information, refer to the following answer .

2) Regula Falsi Method : 

Currently there is no built-in function available in MATLAB for the Regula Falsi method. An alternative can be the following file-exchange submission. If you have any queries regarding this submission, please reach out to the author of the code.