Find roots of polynomial $$ p(x) = 3x^4+3x^3-x^2-12x-12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.6308\\[1 em]x_2 &= -1.0733\\[1 em]x_3 &= -0.7787+1.2957i\\[1 em]x_4 &= -0.7787-1.2957i \end{aligned} $$Explanation
Polynomial $ 3x^4+3x^3-x^2-12x-12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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