
1.10.25 Polynomials
Condition: Find a solution to the 4th degree equation using the Ferrari method: \[ \begin{array}{l} x^{4}+4 i \sqrt{3} x^{3}+(-18-2 i+2 \sqrt{3}) x^{2}+ \\ +(8+4 i-(4+20 i) \sqrt{3}) x+19-18 i+ \\ +(2+6 i) \sqrt{3}=0 \end{array} \]
Polynomials and their complex, real and rational roots. Decomposition in various numerical fields.