\section{Problem}

We have to find all real and complex roots of the polynomial:

\[ f(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0 \]
where:
\[ [a_4 \; a_3 \; a_2 \; a_1 \; a_0] = [-2 \; 12 \; 4 \; 1 \; 3] \]

So our polynomial looks like this:
\[ f(x) = -2x^4+12x^3+4x^2+1x+3 \]

Using the M{\"u}ller's method. We have to implement both MM1 and MM2 versions. We also need to find real roots using the Newton's method and compare these results with what we got from MM2 version of the M{\"u}ller's method.