Find roots of polynomial $$ p(x) = 3x^4-6x^3+11x^2+27x-30 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8803\\[1 em]x_2 &= -1.6077\\[1 em]x_3 &= 1.3637+2.2817i\\[1 em]x_4 &= 1.3637-2.2817i \end{aligned} $$Explanation
Polynomial $ 3x^4-6x^3+11x^2+27x-30 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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