
1.10.25 Polynomials
Condition: Find the solution of the 4th degree equation by 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.